Lanczos kernel

Time bar (total: 4.5s)

start0.0ms (0%)

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

analyze18.0ms (0.4%)

Memory
5.6MiB live, 52.1MiB allocated; 3ms 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 (25.2%)

Memory
25.7MiB live, 1 867.9MiB allocated; 398ms collecting garbage
Samples
894.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 626.0ms
ival-sinu: 193.0ms (30.8% of total)
ival-mult!: 175.0ms (28% of total)
ival-sin: 154.0ms (24.6% of total)
ival-div!: 101.0ms (16.1% of total)
adjust: 2.0ms (0.3% of total)
ival-<=: 1.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain149.0ms (3.3%)

Memory
38.7MiB live, 184.6MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.989831805229187 3.49859619140625)(sin.f32 (*.f32 x (PI.f32)))
10-1(0.4136624038219452 4.93113899230957)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
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-(*.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 -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+002
-00254
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
48.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div!: 12.0ms (35.1% of total)
ival-sinu: 8.0ms (23.4% of total)
ival-sin: 7.0ms (20.5% of total)
ival-mult!: 7.0ms (20.5% of total)
adjust: 0.0ms (0% of total)

preprocess134.0ms (2.9%)

Memory
-2.5MiB live, 91.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032136
196136
2438128
32215128
43963128
55859128
66890128
01021
01821
13121
28821
329521
469221
5113721
6174821
7384421
8745821
9757421
10777221
0801521
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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))))
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))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

series68.0ms (1.5%)

Memory
-13.3MiB live, 30.9MiB allocated; 5ms 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
46.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite183.0ms (4%)

Memory
31.2MiB live, 264.4MiB allocated; 35ms 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))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (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))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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)

eval12.0ms (0.3%)

Memory
-25.3MiB live, 20.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune21.0ms (0.5%)

Memory
1.2MiB live, 47.9MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New10822130
Fresh000
Picked011
Done000
Total10823131
Accuracy
99.7%
Counts
131 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.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))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.3%
(/.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)))
81.9%
(/.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)))))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
77.6%
(/.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))))
81.9%
(/.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)))
79.4%
(/.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))))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶79.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
✓98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #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))))
▶86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
▶97.8%
(*.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)))
97.3%
(*.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))))
80.1%
(*.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))))
79.5%
#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)))
64.8%
#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)))
▶64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 127 to 644 computations (42.9% saved)

series69.0ms (1.5%)

Memory
6.2MiB live, 107.9MiB allocated; 31ms collecting garbage
Counts
31 → 126
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)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(neg.f32 (*.f32 (PI.f32) 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 (* (* 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 (/ (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 (+ (* (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 (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* 1/2 (* x (* (PI) (sin (PI)))))))) x)))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* 1/6 (* x (* (pow (PI) 2) (cos (PI))))) (* 1/2 (* (PI) (sin (PI))))))))) x)))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (+ (PI) (* x (PI)))))
#s(approx (neg (* (PI) x)) #s(hole binary32 (* -1 (* 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 (* (* 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 (* (* 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 (+ (* (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 (* (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))))))
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#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (PI))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (+ (PI) (/ (PI) x)))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (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)))))
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#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)))))))))))))
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#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)))))
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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)))))) (* 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))))))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
11.0ms
tau
@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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
11.0ms
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
7.0ms
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
6.0ms
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))

rewrite180.0ms (4%)

Memory
0.7MiB live, 281.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06104978
06654631
136794524
082154348
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
157 → 584
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)
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(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#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)))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
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#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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (PI))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (+ (PI) (/ (PI) x)))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (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 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (PI.f32))) (neg.f32 x))
(/.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 x tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (neg.f32 (PI.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))))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))) (*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)) (*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.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)) (*.f32 x tau))) (*.f32 (PI.f32) x))
(/.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 (*.f32 (neg.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 (*.f32 (neg.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)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))) (*.f32 (PI.f32) x))
(/.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) (*.f32 (neg.f32 (PI.f32)) x)))
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#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))
#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 (PI.f32))) x #s(literal 0 binary32)))
#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/2 binary32))) x (neg.f32 (PI.f32))) x #s(literal 0 binary32)))
#s(approx (+ (* (PI) x) (PI)) (PI.f32))
#s(approx (+ (* (PI) x) (PI)) (fma.f32 (PI.f32) x (PI.f32)))
#s(approx (neg (* (PI) x)) (*.f32 (neg.f32 (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#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 (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (+ (* (PI) x) (PI))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
#s(approx (+ (* (PI) x) (PI)) (*.f32 (PI.f32) x))
#s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (+ (* (PI) x) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (PI.f32) x) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (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))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x)))
#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)) (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)
#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 (* (/ (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 (fma.f32 (PI.f32) x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal 1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))

eval52.0ms (1.2%)

Memory
-8.6MiB live, 88.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 13 353 to 1 465 computations (89% saved)

prune64.0ms (1.4%)

Memory
-3.4MiB live, 90.0MiB allocated; 6ms collecting garbage
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New44027467
Fresh13417
Picked325
Done101
Total45733490
Accuracy
99.7%
Counts
490 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(/.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))
▶79.4%
(/.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)))))
97.5%
(/.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))))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
71.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
77.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
▶81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
79.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
86.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
▶97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
64.8%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓79.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
77.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (neg.f32 (*.f32 (PI.f32) x))))
77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
77.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (*.f32 (PI.f32) x))))
81.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (PI.f32) x))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #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))))
▶86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
71.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
64.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
97.3%
(*.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))))
80.1%
(*.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))))
71.1%
(*.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)))
79.5%
#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)))
▶6.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
79.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
✓64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 808 to 1 073 computations (40.7% saved)

series137.0ms (3%)

Memory
47.6MiB live, 138.3MiB allocated; 39ms collecting garbage
Counts
38 → 146
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
tau
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
#s(literal 0 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))
Outputs
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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)) #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 x #s(hole binary32 x))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (* (* (* x tau) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#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 (/ 0 (* (PI) x)) #s(hole binary32 0))
#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 (/ (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 (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* (PI) (sin (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow (PI) 3) (sin (PI)))))))) (* (PI) (sin (PI)))))))
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Calls

6 calls:

TimeVariablePointExpression
55.0ms
tau
@inf
((/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) 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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) (* (* x tau) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* x (neg (* (* x tau) (PI)))) (neg (* (* x tau) (PI))))
33.0ms
x
@inf
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8.0ms
x
@-inf
((/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) 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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) (* (* x tau) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* x (neg (* (* x tau) (PI)))) (neg (* (* x tau) (PI))))
7.0ms
tau
@-inf
((/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) 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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) (* (* x tau) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* x (neg (* (* x tau) (PI)))) (neg (* (* x tau) (PI))))
6.0ms
tau
@0
((/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) 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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) (* (* x tau) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* x (neg (* (* x tau) (PI)))) (neg (* (* x tau) (PI))))

rewrite772.0ms (17%)

Memory
-120.3MiB live, 376.4MiB allocated; 868ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08535726
09255286
153505225
082735033
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
184 → 322
Calls
Call 1
Inputs
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(PI.f32)
x
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
tau
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (* x (sin (PI))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* tau (sin (PI))) (* tau (* x (* (PI) (cos (PI)))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* tau (sin (PI))) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 2) (sin (PI)))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* tau (sin (PI))) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 2) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 2) (sin (PI))))) (* x (+ (* -1/6 (* tau (* (pow (PI) 3) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (cos (PI))))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))))
#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 (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (+ (PI) (* x (PI)))))
#s(approx (* x (neg (* (* x tau) (PI)))) #s(hole binary32 (* -1 (* tau (* (pow x 2) (PI))))))
#s(approx (neg (* (* x tau) (PI))) #s(hole binary32 (* -1 (* tau (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* 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 (/ (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 (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (sin (+ (PI) (* tau (* x (PI)))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* x (+ (* tau (PI)) (/ (PI) x)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (PI))))
#s(approx (/ (sin (* (* x tau) (PI))) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (PI))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (+ (PI) (/ (PI) x)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (* x (sin (+ (PI) (* x (PI))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (+ (PI) (* x (PI)))))))) (* x (sin (+ (PI) (* x (PI)))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (* x (sin (+ (PI) (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (+ (PI) (* x (PI))))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (* x (sin (+ (PI) (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (+ (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 (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
tau
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(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
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#s(literal 0 binary32)
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#s(approx (sin (+ (* (PI) x) (PI))) #s(literal 0 binary32))
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#s(approx (+ (* (PI) x) (PI)) (PI.f32))
#s(approx (+ (* (PI) x) (PI)) (fma.f32 (PI.f32) x (PI.f32)))
#s(approx (* x (neg (* (* x tau) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)))
#s(approx (neg (* (* x tau) (PI))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
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#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (sin (* (* x tau) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (*.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))))
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#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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#s(approx (+ (* (* x tau) (PI)) (PI)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (+ (* (* x tau) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))
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#s(approx (sin (+ (* (PI) x) (PI))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
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#s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))
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#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.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))
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#s(approx tau tau)
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (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))))
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#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))
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#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (neg.f32 (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (* (neg (PI)) x) (* (* x tau) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
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#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (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 (fma.f32 (PI.f32) x (PI.f32)))))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (pow.f32 x #s(literal 3 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x)) tau))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x)) tau))
#s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (pow.f32 x #s(literal 7 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x)) tau))
#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 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.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 tau tau))) (*.f32 tau tau) x) tau))
#s(approx (+ (* (* x tau) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* x tau) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval45.0ms (1%)

Memory
-8.1MiB live, 82.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 13 867 to 1 576 computations (88.6% saved)

prune71.0ms (1.6%)

Memory
6.3MiB live, 151.1MiB allocated; 21ms collecting garbage
Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New40231433
Fresh101626
Picked325
Done112
Total41650466
Accuracy
99.8%
Counts
466 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
67.9%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
82.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) tau))
79.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (PI.f32)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
▶97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
77.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.5%
(/.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))))
81.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
▶97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
77.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
60.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
79.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (neg.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
79.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
86.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
86.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
✓97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
84.3%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
▶71.3%
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
63.8%
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
64.8%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
63.7%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
63.7%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
86.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
77.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (*.f32 (PI.f32) x))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #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))))
✓86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
71.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
82.1%
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))))
▶97.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
80.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
80.1%
(*.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))))
64.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.1%
(*.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)))
54.2%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
▶6.3%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
79.5%
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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)))
✓64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 780 to 1 647 computations (40.8% saved)

series36.0ms (0.8%)

Memory
-30.3MiB live, 62.9MiB allocated; 4ms collecting garbage
Counts
27 → 125
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.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))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32)))
Outputs
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (* x (PI))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (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 (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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 (* (* (* x tau) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 1))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #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))) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #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))) x)))
#s(approx (* (* (* (* (PI) x) tau) (PI)) x) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* (* (PI) x) tau) (PI)) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (* (PI) (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) #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 (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#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 (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
tau
@-inf
((/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) 0 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* (* x tau) (PI)) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (* (* (* (* (PI) x) tau) (PI)) x) (* (* (* (PI) x) tau) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* x tau) (PI))))
6.0ms
x
@-inf
((/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) 0 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* (* x tau) (PI)) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (* (* (* (* (PI) x) tau) (PI)) x) (* (* (* (PI) x) tau) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* x tau) (PI))))
5.0ms
x
@inf
((/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) 0 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* (* x tau) (PI)) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (* (* (* (* (PI) x) tau) (PI)) x) (* (* (* (PI) x) tau) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* x tau) (PI))))
5.0ms
tau
@inf
((/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) 0 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* (* x tau) (PI)) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (* (* (* (* (PI) x) tau) (PI)) x) (* (* (* (PI) x) tau) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* x tau) (PI))))
4.0ms
x
@0
((/ (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (PI) x)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) 0 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* (* x tau) (PI)) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (* (* (* (* (PI) x) tau) (PI)) x) (* (* (* (PI) x) tau) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* x tau) (PI))))

rewrite224.0ms (4.9%)

Memory
1.8MiB live, 240.3MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06195982
06725689
135965647
080575426
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
152 → 269
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.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))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32)))
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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)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (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)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#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 (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (* (PI) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x)))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x)))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x)))) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (PI.f32)) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))) (neg.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) tau) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) (*.f32 tau x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 tau x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 tau x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32))) x))
(/.f32 (neg.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) (*.f32 tau x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
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#s(approx x x)
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#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))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
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#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(literal 1 binary32))
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#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
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#s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x)))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (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 tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
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#s(approx (* (* x tau) (PI)) (*.f32 (PI.f32) (*.f32 tau x)))
#s(approx (* x tau) (*.f32 tau x))
#s(approx (* (* (* x tau) (PI)) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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)))
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#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 tau x) #s(literal 2 binary32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (* (* (* x tau) (PI)) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
#s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) #s(literal 1 binary32))
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#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
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#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
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#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx (/ (sin (* (PI) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
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#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx tau tau)
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (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 (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 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 (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (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 (* (PI) x)) (sin (* (* x tau) (PI)))) (*.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)) (sin (* (* x tau) (PI)))) (*.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 (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (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 (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 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 (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 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 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (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))))
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#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 tau x) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))

eval34.0ms (0.7%)

Memory
8.9MiB live, 57.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 318 to 985 computations (89.4% saved)

prune57.0ms (1.3%)

Memory
24.7MiB live, 117.5MiB allocated; 5ms collecting garbage
Pruning

59 alts after pruning (52 fresh and 7 done)

PrunedKeptTotal
New29613309
Fresh33942
Picked145
Done033
Total30059359
Accuracy
99.9%
Counts
359 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 tau x)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
68.0%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
67.9%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
82.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) tau))
79.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (PI.f32)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
✓97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
77.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
97.5%
(/.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))))
81.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
✓97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
77.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
60.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
79.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (neg.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
79.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
86.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
86.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
✓97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
84.3%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
71.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
71.0%
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
71.1%
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
64.8%
(/.f32 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
63.8%
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
63.8%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
63.7%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
63.7%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
86.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
77.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (*.f32 (PI.f32) x))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #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))))
✓86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
71.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
86.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
82.1%
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))))
✓97.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
97.4%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
96.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
96.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
79.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
64.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
80.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
80.1%
(*.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))))
64.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.1%
(*.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)))
95.2%
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
54.2%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
✓6.3%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
79.5%
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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)))
✓64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 257 to 1 427 computations (66.5% saved)

regimes105.0ms (2.3%)

Memory
-0.4MiB live, 185.9MiB allocated; 19ms collecting garbage
Counts
94 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Outputs
(/.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))
Calls

4 calls:

26.0ms
(*.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))))
26.0ms
tau
25.0ms
x
23.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.1%1(*.f32 x (PI.f32))
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1x
98.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes73.0ms (1.6%)

Memory
5.5MiB live, 59.5MiB allocated; 4ms collecting garbage
Counts
67 → 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.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 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.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 (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 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (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 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

23.0ms
x
16.0ms
tau
16.0ms
(*.f32 x (PI.f32))
16.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
98.0%1(*.f32 x (PI.f32))
98.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%1x
98.0%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes97.0ms (2.1%)

Memory
-3.4MiB live, 85.7MiB allocated; 8ms collecting garbage
Counts
60 → 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.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 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
Calls

4 calls:

48.0ms
tau
19.0ms
(*.f32 x (PI.f32))
14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
14.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1x
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%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes81.0ms (1.8%)

Memory
-7.8MiB live, 90.0MiB allocated; 13ms collecting garbage
Counts
43 → 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Calls

4 calls:

44.0ms
(*.f32 x (PI.f32))
13.0ms
x
11.0ms
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
97.5%1tau
97.5%1(*.f32 x (PI.f32))
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes53.0ms (1.2%)

Memory
30.2MiB live, 75.5MiB allocated; 2ms collecting garbage
Counts
42 → 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
Calls

4 calls:

21.0ms
tau
10.0ms
x
10.0ms
(*.f32 x (PI.f32))
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
97.4%1(*.f32 x (PI.f32))
97.4%1x
97.4%1tau
97.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (1%)

Memory
-2.0MiB live, 86.8MiB allocated; 9ms collecting garbage
Counts
41 → 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(approx (* (PI) (* (* x tau) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Calls

4 calls:

13.0ms
x
10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
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
97.1%1(*.f32 x (PI.f32))
97.1%1x
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (1.1%)

Memory
-8.3MiB live, 93.2MiB allocated; 19ms 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
(*.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #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)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #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)))) (*.f32 (*.f32 (PI.f32) x) tau))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
Calls

4 calls:

16.0ms
tau
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.9%1(*.f32 x (PI.f32))
86.9%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))))
86.9%1x
86.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes90.0ms (2%)

Memory
-15.7MiB live, 75.6MiB allocated; 9ms 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

53.0ms
tau
22.0ms
(*.f32 x (PI.f32))
7.0ms
x
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
80.2%1(*.f32 x (PI.f32))
80.2%1x
80.2%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))))
80.2%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes26.0ms (0.6%)

Memory
1.5MiB live, 55.8MiB allocated; 8ms 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 tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.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)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* x tau) (PI)) (* (PI) x))) (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 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.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)))
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)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

9.0ms
(*.f32 x (PI.f32))
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
tau
5.0ms
x
Results
AccuracySegmentsBranch
79.5%1tau
79.5%1(*.f32 x (PI.f32))
79.5%1x
79.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.4%)

Memory
-8.3MiB live, 36.5MiB allocated; 6ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) x)) (*.f32 x (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32))))
#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 #s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (* (* (PI) x) tau) (PI)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

7.0ms
x
4.0ms
(*.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))))
Results
AccuracySegmentsBranch
64.8%1(*.f32 x (PI.f32))
64.8%1x
64.8%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))))
64.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

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

Total -18.5b remaining (-160.4%)

Threshold costs -18.5b (-160.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (PI)) (sin (+ (* (PI) x) (PI)))) (* x (neg (* (* x tau) (PI))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
x
1.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
(*.f32 x (PI.f32))
1.0ms
tau
Results
AccuracySegmentsBranch
64.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.0%1tau
64.0%1(*.f32 x (PI.f32))
64.0%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify51.0ms (1.1%)

Memory
-1.4MiB live, 91.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073306
193306
2182302
3551302
41765302
55053302
Stop Event
1×node limit
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 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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(/.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 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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

derivations325.0ms (7.1%)

Memory
-30.3MiB live, 261.5MiB allocated; 16ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 306 to 76 computations (75.2% saved)

preprocess56.0ms (1.2%)

Memory
39.6MiB live, 86.3MiB allocated; 3ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 1 878 to 848 computations (54.8% saved)

end0.0ms (0%)

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

Profiling

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