Lanczos kernel

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze453.0ms (10.5%)

Memory
-130.0MiB live, 42.1MiB allocated; 755ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.1s (25.4%)

Memory
-27.2MiB live, 1 603.7MiB allocated; 244ms collecting garbage
Samples
815.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 522.0ms
ival-sinu: 154.0ms (29.5% of total)
ival-sin: 130.0ms (24.9% of total)
ival-mult!: 127.0ms (24.3% of total)
ival-div!: 109.0ms (20.9% of total)
adjust: 2.0ms (0.4% of total)
ival-<=: 1.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

explain159.0ms (3.7%)

Memory
17.1MiB live, 301.2MiB allocated; 37ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
69.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sinu: 10.0ms (35.8% of total)
ival-sin: 7.0ms (25% of total)
ival-mult!: 7.0ms (25% of total)
ival-div!: 4.0ms (14.3% of total)
adjust: 0.0ms (0% of total)

preprocess42.0ms (1%)

Memory
-23.7MiB live, 30.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
196136
2438128
32215128
43963128
55859128
66890128
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series30.0ms (0.7%)

Memory
36.8MiB live, 83.4MiB allocated; 3ms 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
8.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) 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))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite177.0ms (4.1%)

Memory
-17.0MiB live, 313.0MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631349
02791283
116081261
081191208
Stop Event
1×iter-limit
1×node-limit
1×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)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (* x (PI)) tau) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #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))
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#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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
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#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.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)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval10.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 213 to 465 computations (85.5% saved)

prune13.0ms (0.3%)

Memory
-12.3MiB live, 34.1MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New9319112
Fresh000
Picked011
Done000
Total9320113
Accuracy
99.7%
Counts
113 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.8%
(/.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))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
81.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
76.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶97.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
81.2%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
66.1%
#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)))
▶97.2%
#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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶65.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 957 to 546 computations (42.9% saved)

series104.0ms (2.4%)

Memory
-19.2MiB live, 122.0MiB allocated; 25ms collecting garbage
Counts
25 → 111
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 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))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
Outputs
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* tau x) (PI))) #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)) #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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 1))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #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)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (pow (* (PI) x) 2) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (pow (* (PI) x) 2) #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 (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 1))
#s(approx (* (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) #s(hole binary32 (/ 1 (PI))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI)))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #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 (* (* tau x) (PI))) (* (* tau x) (PI))) #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 (* (* 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) 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)) (* (pow (* (PI) x) 2) 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)) (* (pow (* (PI) x) 2) 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)) (* (* 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 5)))) (* 1/120 (* (pow x 4) (pow (PI) 3))))))) (/ 1 (PI)))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@inf
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x))
28.0ms
tau
@inf
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x))
8.0ms
x
@-inf
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x))
7.0ms
tau
@-inf
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x))
5.0ms
x
@0
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x))

rewrite277.0ms (6.4%)

Memory
36.4MiB live, 355.4MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05274990
05744772
129874674
0111154492
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
136 → 544
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
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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)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) 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)) (* (pow (* (PI) x) 2) 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)) (* (pow (* (PI) x) 2) 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)) (* (* 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) (/ (sin (* (PI) x)) 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 x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 5)))) (* 1/120 (* (pow x 4) (pow (PI) 3))))))) (/ 1 (PI)))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (PI.f32)))
(*.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))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.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)) tau))
(*.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 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 x)))
(/.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)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 x (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.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 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) x))))
(/.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)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.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 x tau) (PI.f32)))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (PI)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))))

eval39.0ms (0.9%)

Memory
-10.4MiB live, 91.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 13 921 to 1 402 computations (89.9% saved)

prune32.0ms (0.7%)

Memory
-12.3MiB live, 82.0MiB allocated; 4ms collecting garbage
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New40722429
Fresh11314
Picked415
Done011
Total42227449
Accuracy
99.8%
Counts
449 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
78.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
▶66.1%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.1%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
96.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
72.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
▶97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
81.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
66.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
66.0%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
72.3%
(*.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)))
▶80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
▶97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
97.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
78.6%
#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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
72.4%
#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)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (PI.f32))))))
✓65.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 534 to 886 computations (42.2% saved)

series36.0ms (0.8%)

Memory
28.4MiB live, 79.3MiB allocated; 4ms collecting garbage
Counts
40 → 154
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
(+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))
(*.f32 (PI.f32) tau)
#s(literal 2 binary32)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) x) (PI)) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (sin (* (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 x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (* (/ (sin (* (* 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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #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))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* x 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 (* (pow (* (PI) x) 2) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 1))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (/ 1 (PI))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #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))) (* (* tau x) (PI))) #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 (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* 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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #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)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (pow (* (PI) tau) 2) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #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))) (* (pow (* (PI) x) 2) 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) 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 (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* 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 (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 5)))) (* 1/120 (* (pow x 4) (pow (PI) 3))))))) (/ 1 (PI)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #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))) (* (* tau x) (PI))) #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))))))))))
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#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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow (* (PI) tau) 2) (* (PI) tau) 2 (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (* tau x) (PI)) (* tau x))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow (* (PI) tau) 2) (* (PI) tau) 2 (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (* tau x) (PI)) (* tau x))
5.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow (* (PI) tau) 2) (* (PI) tau) 2 (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (* tau x) (PI)) (* tau x))
5.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow (* (PI) tau) 2) (* (PI) tau) 2 (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (* tau x) (PI)) (* tau x))
4.0ms
tau
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow (* (PI) tau) 2) (* (PI) tau) 2 (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (* tau x) (PI)) (* tau x))

rewrite248.0ms (5.7%)

Memory
16.3MiB live, 295.5MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06296412
06966084
135445996
080665734
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
194 → 514
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))))
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(+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))
(*.f32 (PI.f32) tau)
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(*.f32 (PI.f32) (PI.f32))
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(*.f32 (*.f32 tau x) (PI.f32))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
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#s(approx (sin (* (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)))))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
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#s(approx (* x x) #s(hole binary32 (pow x 2)))
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#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 (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* 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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #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)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (pow (* (PI) tau) 2) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) #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))) (* (pow (* (PI) x) 2) 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) 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 (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* 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 (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (/ (sin (* (PI) x)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 5)))) (* 1/120 (* (pow x 4) (pow (PI) 3))))))) (/ 1 (PI)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) #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))) (* (* tau x) (PI))) #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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 tau (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 tau x)) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))
#s(approx (pow (* (PI) tau) 2) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (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))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (pow (* (PI) x) 2) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (PI)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.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)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (pow.f32 tau #s(literal -2 binary32)))) (*.f32 tau tau)))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
#s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))) (*.f32 tau tau)))

eval39.0ms (0.9%)

Memory
-10.2MiB live, 92.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 14 729 to 1 592 computations (89.2% saved)

prune38.0ms (0.9%)

Memory
-8.4MiB live, 85.2MiB allocated; 5ms collecting garbage
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New35525380
Fresh71320
Picked235
Done022
Total36443407
Accuracy
99.8%
Counts
407 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.0%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
97.7%
(/.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)))
✓66.1%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
66.4%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
96.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
72.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
✓97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
72.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
81.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
▶97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
81.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
66.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
66.0%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
72.3%
(*.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)))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
71.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
▶97.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
✓97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
92.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) tau)))
72.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
▶80.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
79.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
97.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
72.4%
#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)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (PI.f32))))))
▶66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
4.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
✓65.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 692 to 1 539 computations (42.8% saved)

series38.0ms (0.9%)

Memory
-7.5MiB live, 90.3MiB allocated; 5ms collecting garbage
Counts
36 → 149
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
(fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 tau))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6)))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#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 (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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)) 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)))))
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#s(approx (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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)))))))))
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#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 1))
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#s(approx (* (pow (* (PI) x) 2) -1/6) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
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#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau x)))
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#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))))
#s(approx (sin (* (* x 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 (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ 1 (* tau x))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)))
#s(approx (/ (sin (* (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 (* (* 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 (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #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 (/ (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 (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) 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) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) 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) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (/ (* tau (sin (* x (PI)))) (* x (PI)))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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 (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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 (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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 (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))))
#s(approx (sin (* (* 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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (+ (* (pow (* (PI) x) 2) -1/6) 1) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (/ (sin (* (PI) x)) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (pow (* (* (PI) x) tau) 2) (* (pow (* (PI) x) 2) -1/6) (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/ (sin (* (PI) x)) (* (PI) x)))
6.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (+ (* (pow (* (PI) x) 2) -1/6) 1) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (/ (sin (* (PI) x)) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (pow (* (* (PI) x) tau) 2) (* (pow (* (PI) x) 2) -1/6) (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/ (sin (* (PI) x)) (* (PI) x)))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (+ (* (pow (* (PI) x) 2) -1/6) 1) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (/ (sin (* (PI) x)) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (pow (* (* (PI) x) tau) 2) (* (pow (* (PI) x) 2) -1/6) (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/ (sin (* (PI) x)) (* (PI) x)))
6.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (+ (* (pow (* (PI) x) 2) -1/6) 1) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (/ (sin (* (PI) x)) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (pow (* (* (PI) x) tau) 2) (* (pow (* (PI) x) 2) -1/6) (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/ (sin (* (PI) x)) (* (PI) x)))
4.0ms
tau
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (+ (* (pow (* (PI) x) 2) -1/6) 1) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (/ (sin (* (PI) x)) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (pow (* (* (PI) x) tau) 2) (* (pow (* (PI) x) 2) -1/6) (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/ (sin (* (PI) x)) (* (PI) x)))

rewrite192.0ms (4.4%)

Memory
3.1MiB live, 279.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06296153
06885808
136625740
084455471
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
185 → 431
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
(fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 tau))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6)))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#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 (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 1))
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#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))))))
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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)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ 1 (* tau x))))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 1))
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#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 (* (* 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 (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
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#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
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#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
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#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #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 (/ (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 (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) 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) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) 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))))))
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#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
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#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (* (PI) x)) 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 (* (PI) x)) 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 (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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 (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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 (* (* x tau) (PI))) (PI)) (/ (/ (sin (* (PI) x)) (* (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))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))))
#s(approx (sin (* (* 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 (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (* (pow (* (PI) x) 2) -1/6)) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) tau)) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 tau)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 tau (*.f32 (PI.f32) x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (pow.f32 (*.f32 tau x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (pow.f32 (*.f32 tau x) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (fabs.f32 (*.f32 (PI.f32) x)) (fabs.f32 (*.f32 (PI.f32) x)))
(*.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) x))) (exp.f32 (log.f32 (*.f32 (PI.f32) x))))
(*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(pow.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))))
(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)))
#s(literal 2 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (pow.f32 (*.f32 tau x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (pow.f32 (*.f32 tau x) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))))
(-.f32 (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal -1/6 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x x)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) (PI.f32))) x) tau))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 tau tau) x) tau))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau tau))) (*.f32 tau tau) x) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (pow.f32 tau #s(literal -2 binary32)))) (*.f32 tau tau)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (pow.f32 tau #s(literal -2 binary32)))) (*.f32 tau tau)))
#s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (*.f32 tau tau) #s(literal 1 binary32)))

eval85.0ms (2%)

Memory
1.0MiB live, 106.8MiB allocated; 81ms collecting garbage
Compiler

Compiled 17 792 to 1 793 computations (89.9% saved)

prune53.0ms (1.2%)

Memory
-9.0MiB live, 134.4MiB allocated; 10ms collecting garbage
Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New40016416
Fresh82533
Picked145
Done055
Total40950459
Accuracy
99.8%
Counts
459 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.0%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))
✓66.1%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
66.4%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
96.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
✓97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
72.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
72.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
81.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
60.8%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
✓97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
81.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
66.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
66.0%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
71.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
72.3%
(*.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)))
97.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
80.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
71.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
✓97.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
95.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (exp.f32 (*.f32 (log.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
✓97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
92.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) tau)))
66.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
79.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
72.4%
#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)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (PI.f32))))))
✓66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
4.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
✓65.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 364 to 1 371 computations (68.6% saved)

regimes90.0ms (2.1%)

Memory
30.0MiB live, 219.4MiB allocated; 9ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (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))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (exp.f32 (*.f32 (log.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) 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:

23.0ms
tau
21.0ms
(*.f32 x (PI.f32))
21.0ms
x
21.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.9%1(*.f32 x (PI.f32))
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1x
97.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes138.0ms (3.2%)

Memory
14.4MiB live, 172.3MiB allocated; 57ms collecting garbage
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (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))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
Calls

4 calls:

53.0ms
(*.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))))
35.0ms
(*.f32 x (PI.f32))
28.0ms
tau
14.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1x
97.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes80.0ms (1.9%)

Memory
-14.7MiB live, 92.8MiB allocated; 39ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Calls

4 calls:

43.0ms
tau
13.0ms
(*.f32 x (PI.f32))
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
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 26 to 18 computations (30.8% saved)

regimes44.0ms (1%)

Memory
-12.2MiB live, 81.3MiB allocated; 3ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Calls

4 calls:

11.0ms
x
11.0ms
(*.f32 x (PI.f32))
10.0ms
tau
10.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.2%1(*.f32 x (PI.f32))
97.2%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))))
97.2%1x
97.2%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes82.0ms (1.9%)

Memory
31.2MiB live, 80.1MiB allocated; 47ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

50.0ms
x
10.0ms
tau
10.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.4%1(*.f32 x (PI.f32))
80.4%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))))
80.4%1x
80.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (1%)

Memory
-20.6MiB live, 74.1MiB allocated; 5ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
Calls

4 calls:

12.0ms
tau
10.0ms
(*.f32 x (PI.f32))
9.0ms
x
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
80.4%1(*.f32 x (PI.f32))
80.4%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))))
80.4%1x
80.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes30.0ms (0.7%)

Memory
12.2MiB live, 58.9MiB allocated; 1ms 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))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
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
80.4%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))))
80.4%1(*.f32 x (PI.f32))
80.4%1x
80.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes29.0ms (0.7%)

Memory
5.7MiB live, 55.4MiB allocated; 3ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
(*.f32 x (PI.f32))
7.0ms
tau
6.0ms
x
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
72.5%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))))
72.5%1tau
72.5%1(*.f32 x (PI.f32))
72.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes24.0ms (0.6%)

Memory
0.4MiB live, 46.9MiB allocated; 2ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) 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))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* x tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (PI.f32))))))
Calls

4 calls:

6.0ms
tau
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms
x
5.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
72.4%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))))
72.4%1(*.f32 x (PI.f32))
72.4%1x
72.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.5%)

Memory
-7.2MiB live, 39.3MiB 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))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(literal 1 binary32)))
Calls

4 calls:

6.0ms
(*.f32 x (PI.f32))
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
Results
AccuracySegmentsBranch
71.8%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))))
71.8%1tau
71.8%1(*.f32 x (PI.f32))
71.8%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.4%)

Memory
-10.2MiB live, 36.4MiB allocated; 2ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

5.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
71.8%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))))
71.8%1(*.f32 x (PI.f32))
71.8%1x
71.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.4%)

Memory
-15.1MiB live, 33.7MiB allocated; 3ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (pow (* (PI) x) 2)) (*.f32 (/.f32 tau x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (pow (* (PI) tau) 2) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
66.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.4%1(*.f32 x (PI.f32))
66.4%1x
66.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.3%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

3.0ms
(*.f32 x (PI.f32))
3.0ms
x
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
Results
AccuracySegmentsBranch
66.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.4%1tau
66.4%1(*.f32 x (PI.f32))
66.4%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.3%)

Memory
-23.3MiB live, 23.7MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (+ (* (pow (* (* (PI) x) tau) 2) -1/6) 1) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

3.0ms
tau
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
66.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.4%1tau
66.4%1(*.f32 x (PI.f32))
66.4%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Accuracy

Total -19.8b remaining (-177.7%)

Threshold costs -19.8b (-177.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (pow (* (PI) tau) 2) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

1.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
x
1.0ms
(*.f32 x (PI.f32))
1.0ms
tau
Results
AccuracySegmentsBranch
65.2%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))))
65.2%1tau
65.2%1(*.f32 x (PI.f32))
65.2%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations392.0ms (9.1%)

Memory
24.2MiB live, 445.3MiB allocated; 28ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 572 to 107 computations (81.3% saved)

preprocess124.0ms (2.9%)

Memory
12.4MiB live, 339.9MiB allocated; 30ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 3 474 to 1 530 computations (56% saved)

end0.0ms (0%)

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

Profiling

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