Lanczos kernel

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze24.0ms (0.5%)

Memory
-20.8MiB live, 24.4MiB allocated; 10ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.7s (37.4%)

Memory
-110.2MiB live, 1 373.7MiB allocated; 1.5s collecting garbage
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div!: 885.0ms (68.7% of total)
ival-mult!: 142.0ms (11% of total)
ival-sin: 135.0ms (10.5% of total)
ival-sinu: 120.0ms (9.3% of total)
ival-<=: 4.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain117.0ms (2.5%)

Memory
10.6MiB live, 201.9MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(0.4572623074054718 4.334986209869385)(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-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
42.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sinu: 8.0ms (29.6% of total)
ival-sin: 7.0ms (25.9% of total)
ival-mult!: 7.0ms (25.9% of total)
ival-div!: 5.0ms (18.5% of total)
adjust: 0.0ms (0% of total)

preprocess145.0ms (3.2%)

Memory
10.6MiB live, 197.9MiB allocated; 17ms 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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.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 21 to 10 computations (52.4% saved)

series37.0ms (0.8%)

Memory
-38.3MiB live, 52.4MiB allocated; 14ms 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
9.0ms
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))))
8.0ms
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))))
7.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite200.0ms (4.3%)

Memory
37.9MiB live, 273.7MiB allocated; 65ms 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)

eval15.0ms (0.3%)

Memory
-10.7MiB live, 29.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune43.0ms (0.9%)

Memory
29.8MiB live, 62.4MiB allocated; 29ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New10327130
Fresh000
Picked101
Done000
Total10427131
Accuracy
99.7%
Counts
131 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
97.2%
(/.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)))
▶81.2%
(/.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)))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
76.8%
(/.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))))
81.1%
(/.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)))
78.5%
(/.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))))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
▶97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
78.6%
(*.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))))
91.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (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)) (*.f32 x (PI.f32))))
94.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (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))))
85.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.6%
(*.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))))
97.2%
(*.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))
97.7%
(*.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)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.6%
(*.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))))
79.8%
#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)))
80.6%
#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))))
65.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶64.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 446 to 816 computations (43.6% saved)

series104.0ms (2.3%)

Memory
-34.4MiB live, 120.3MiB allocated; 70ms collecting garbage
Counts
32 → 148
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 (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)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.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 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* 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)) (sin (* (* tau x) (PI)))) (* (* (* 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))))))))))))
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#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))))))))))
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#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (/ (* (sin (PI)) (sin (* x (PI)))) x)))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (* (PI) (* (cos (PI)) (sin (* x (PI)))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (sin (+ (* (* tau x) (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 (+ (* (* tau x) (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 (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))))
21.0ms
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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))))
17.0ms
x
@0
((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))))
13.0ms
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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))))
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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))))

rewrite195.0ms (4.2%)

Memory
17.5MiB live, 204.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07266162
07905782
143425737
081465508
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
180 → 321
Calls
Call 1
Inputs
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(*.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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
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#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (/ (* (sin (PI)) (sin (* x (PI)))) x)))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (* (PI) (* (cos (PI)) (sin (* x (PI)))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (sin (+ (* (* tau x) (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 (+ (* (* tau x) (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 (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.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 (/.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)) x) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (*.f32 (PI.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 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x tau)
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.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 (/.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)) x) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (*.f32 (PI.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 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 x tau) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.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 (/.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)) x) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (*.f32 (PI.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 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.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 (/.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)) x) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
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#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 (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* 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 (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x tau) (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) tau (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))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) tau)))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))) tau (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (pow.f32 (neg.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1/2 binary32))) tau (neg.f32 (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval30.0ms (0.7%)

Memory
7.1MiB live, 53.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 10 300 to 1 182 computations (88.5% saved)

prune52.0ms (1.1%)

Memory
-11.2MiB live, 88.0MiB allocated; 7ms collecting garbage
Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New31331344
Fresh111122
Picked235
Done000
Total32645371
Accuracy
99.7%
Counts
371 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
▶97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
▶97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
81.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
71.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
81.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
81.2%
(/.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 (PI.f32) x) tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
▶59.8%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
76.8%
(/.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))))
81.1%
(/.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)))
78.5%
(/.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))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
✓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)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (* (* (* tau x) (PI)) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
80.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
59.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
71.5%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
79.2%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
65.3%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
64.4%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
94.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (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))))
85.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
78.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
✓97.6%
(*.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))))
84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.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))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
80.6%
(*.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))))
79.8%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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)))
80.6%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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))))
79.4%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
▶6.3%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
✓64.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 391 to 1 439 computations (39.8% saved)

series32.0ms (0.7%)

Memory
4.2MiB live, 51.2MiB allocated; 1ms collecting garbage
Counts
33 → 162
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.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 x tau) (PI.f32)))
(*.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
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32)))
#s(literal 0 binary32)
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.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 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
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)))) (* (* x tau) (PI))) #s(hole binary32 (* x (PI))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (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 (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (/ 0 (* (* x tau) (PI))) #s(hole binary32 0))
#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (* (PI) (sin (PI)))))
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#s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (sin (+ (* (* tau x) (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 (+ (* (* tau x) (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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (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 (* (* tau x) (PI)))) (* (* (* (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 (* (* tau x) (PI)))) (* (* (* (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)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* (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 x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
tau
@inf
((/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* (* (PI) x) tau) (* (PI) x)) (* (* (PI) x) tau) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)))
5.0ms
x
@-inf
((/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* (* (PI) x) tau) (* (PI) x)) (* (* (PI) x) tau) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)))
5.0ms
tau
@-inf
((/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* (* (PI) x) tau) (* (PI) x)) (* (* (PI) x) tau) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)))
5.0ms
x
@inf
((/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* (* (PI) x) tau) (* (PI) x)) (* (* (PI) x) tau) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)))
3.0ms
x
@0
((/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) tau (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (PI) (neg (* (* tau x) (PI)))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* (* (PI) x) tau) (* (PI) x)) (* (* (PI) x) tau) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)))

rewrite209.0ms (4.5%)

Memory
-3.6MiB live, 183.2MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07357072
07966566
142866511
081246248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
195 → 302
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.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 x tau) (PI.f32)))
(*.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
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32)))
#s(literal 0 binary32)
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.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 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
#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)))) (* (* x tau) (PI))) #s(hole binary32 (* x (PI))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) #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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
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#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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (/ (* (sin (PI)) (sin (* x (PI)))) x)))
#s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (* (PI) (* (cos (PI)) (sin (* x (PI)))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (/ (* (sin (PI)) (sin (* x (PI)))) x))))
#s(approx (sin (+ (* (* tau x) (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 (+ (* (* tau x) (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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* (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 (* (* tau x) (PI)))) (* (* (* (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 (* (* tau x) (PI)))) (* (* (* (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)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* 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 (* (* (PI) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* (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 x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (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 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.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)))
(*.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 (*.f32 tau x) (PI.f32))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
tau
#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(literal 0 binary32))
#s(literal 0 binary32)
#s(literal 0 binary32)
(*.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x)
(/.f32 (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (neg.f32 x))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))))
(fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal 0 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal 0 binary32)))
(cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
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#s(approx tau tau)
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#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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval50.0ms (1.1%)

Memory
5.3MiB live, 50.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 738 to 1 102 computations (88.7% saved)

prune99.0ms (2.1%)

Memory
34.4MiB live, 81.8MiB allocated; 1ms collecting garbage
Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New28525310
Fresh122537
Picked235
Done123
Total30055355
Accuracy
99.7%
Counts
355 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
✓97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
59.8%
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
✓97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
81.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
▶71.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
81.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
81.2%
(/.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 (PI.f32) x) tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.8%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.8%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
59.8%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
71.5%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.4%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
61.6%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
76.8%
(/.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))))
81.1%
(/.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)))
78.5%
(/.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))))
▶98.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (* (* (* (PI) x) tau) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
80.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
59.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
71.5%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
79.2%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
65.3%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
64.4%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
▶98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
85.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
78.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
✓97.6%
(*.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))))
▶84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.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))
71.4%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
97.3%
(*.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)))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
80.6%
(*.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))))
79.8%
#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)))
80.6%
#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))))
79.4%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
▶6.3%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
✓64.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 947 to 1 781 computations (39.6% saved)

series36.0ms (0.8%)

Memory
-46.5MiB live, 51.5MiB allocated; 9ms collecting garbage
Counts
36 → 149
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.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)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (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)))
(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)
#s(literal 1 binary32)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))
Outputs
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (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)) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (/ 0 (* (* x tau) (PI))) #s(hole binary32 0))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* 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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* 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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* 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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) #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 (* x (PI)))) #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 (* x (PI)))) #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 (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 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 (* (PI) tau)) #s(hole binary32 (* tau (* 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)) (/ (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)) (* (* (PI) x) tau)) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (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 (* x (PI)))) #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 (* 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 (* 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)) (/ (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)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* 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))))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) #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))))))
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#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (/ (sin (* (* x (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))))))))))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#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)))))))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (/ (* (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)) (* (* (PI) x) tau)))
5.0ms
tau
@-inf
((* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (/ (* (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)) (* (* (PI) x) tau)))
5.0ms
x
@inf
((* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (/ (* (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)) (* (* (PI) x) tau)))
4.0ms
tau
@inf
((* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (/ (* (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)) (* (* (PI) x) tau)))
3.0ms
x
@0
((* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/ 0 (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (/ (* (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)) (* (* (PI) x) tau)))

rewrite243.0ms (5.3%)

Memory
45.1MiB live, 226.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05896247
06455852
132775727
080805501
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
185 → 513
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
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#s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.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)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
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(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
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(*.f32 (*.f32 x (PI.f32)) tau)
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(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
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#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)) (/ (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)) (* (* (PI) x) tau)) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (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 (* x (PI)))) #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 (* 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 (* 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)) (/ (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)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* 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))) (* (* tau x) (PI))) (sin (* x (PI)))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) #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 (* x (PI)))) #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 (* x (PI)))) #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 (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (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)))))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
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#s(approx (* (PI) x) (*.f32 (PI.f32) x))
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#s(approx (pow (* (PI) x) 2) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
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#s(approx tau tau)
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#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 tau #s(literal -1 binary32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.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))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) tau (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))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (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 (* x (PI)))) (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 (* x (PI)))) (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) 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 (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (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) 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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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)) (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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) 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 (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (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) 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 (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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) tau)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* x (PI)))) (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 (* x (PI)))) (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 (* x (PI)))) (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))))

eval40.0ms (0.9%)

Memory
-0.8MiB live, 87.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 13 211 to 1 376 computations (89.6% saved)

prune66.0ms (1.4%)

Memory
-3.5MiB live, 147.0MiB allocated; 10ms collecting garbage
Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New45022472
Fresh172845
Picked325
Done235
Total47255527
Accuracy
99.7%
Counts
527 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
78.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
98.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
81.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
81.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
81.2%
(/.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 (PI.f32) x) tau))))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.8%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
59.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
71.5%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
59.8%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
81.1%
(/.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)))
76.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (neg.f32 x) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
78.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
97.4%
(/.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))
84.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau))) (*.f32 (PI.f32) x))
71.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
85.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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))
71.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
81.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
80.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
59.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
71.5%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
79.2%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
65.3%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
64.4%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
64.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
✓98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
85.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
85.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
84.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
78.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
✓97.6%
(*.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))))
84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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))))
84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
84.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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)))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
97.3%
(*.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)))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
80.6%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
79.8%
#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)))
80.6%
#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))))
79.4%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
✓6.3%
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
✓64.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 558 to 1 401 computations (69.3% saved)

regimes155.0ms (3.4%)

Memory
-50.3MiB live, 223.9MiB allocated; 86ms collecting garbage
Counts
106 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (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 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau))) (*.f32 (PI.f32) x))
(/.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 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.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 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)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (neg.f32 x) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.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 (*.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 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(/.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))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (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))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (* (* (* tau x) (PI)) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (* (* (* (PI) x) tau) (* (PI) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (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)) (*.f32 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))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Calls

4 calls:

71.0ms
x
27.0ms
tau
25.0ms
(*.f32 x (PI.f32))
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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)

regimes86.0ms (1.9%)

Memory
26.2MiB live, 168.0MiB allocated; 9ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (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 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau))) (*.f32 (PI.f32) x))
(/.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 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.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 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)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (neg.f32 x) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

22.0ms
(*.f32 x (PI.f32))
21.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms
x
20.0ms
tau
Results
AccuracySegmentsBranch
98.1%1(*.f32 x (PI.f32))
98.1%1x
98.1%1tau
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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes125.0ms (2.7%)

Memory
-5.2MiB live, 134.6MiB allocated; 19ms collecting garbage
Counts
72 → 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (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 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (* (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau))) (*.f32 (PI.f32) x))
(/.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 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.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 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)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 tau x) (PI.f32))) (/.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:

52.0ms
tau
33.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
(*.f32 x (PI.f32))
17.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1x
97.8%1tau
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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes59.0ms (1.3%)

Memory
23.0MiB live, 111.1MiB allocated; 12ms collecting garbage
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
Calls

4 calls:

16.0ms
tau
16.0ms
x
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.5%1(*.f32 x (PI.f32))
97.5%1x
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%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1.2%)

Memory
-48.5MiB live, 104.8MiB allocated; 9ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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)))
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:

16.0ms
tau
14.0ms
(*.f32 x (PI.f32))
12.0ms
x
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.3%1(*.f32 x (PI.f32))
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1x
97.3%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1.2%)

Memory
-6.8MiB live, 98.0MiB allocated; 12ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
Calls

4 calls:

19.0ms
(*.f32 x (PI.f32))
13.0ms
tau
12.0ms
x
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.1%1(*.f32 x (PI.f32))
97.1%1x
97.1%1tau
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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (1.1%)

Memory
3.9MiB live, 96.0MiB allocated; 5ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 tau tau) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

14.0ms
(*.f32 x (PI.f32))
14.0ms
tau
11.0ms
x
11.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
85.4%1(*.f32 x (PI.f32))
85.4%1x
85.4%1tau
85.4%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)

regimes45.0ms (1%)

Memory
29.2MiB live, 75.2MiB allocated; 4ms 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 x (*.f32 (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x 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 (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) #s(approx (* (PI) (neg (* (* tau x) (PI)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) x) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) 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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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:

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
84.8%1(*.f32 x (PI.f32))
84.8%1x
84.8%1tau
84.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes32.0ms (0.7%)

Memory
-2.1MiB live, 45.8MiB allocated; 8ms collecting garbage
Counts
23 → 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (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 (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)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau 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 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (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 (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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))))
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:

13.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms
tau
Results
AccuracySegmentsBranch
79.8%1tau
79.8%1(*.f32 x (PI.f32))
79.8%1x
79.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes31.0ms (0.7%)

Memory
-20.8MiB live, 25.3MiB allocated; 4ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (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)) (sin (* (* x tau) (PI)))) (* (* x tau) (PI))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Calls

4 calls:

21.0ms
(*.f32 x (PI.f32))
3.0ms
x
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
Results
AccuracySegmentsBranch
65.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.3%1(*.f32 x (PI.f32))
65.3%1x
65.3%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Accuracy

Total -18.7b remaining (-164.3%)

Threshold costs -18.7b (-164.3%)

Counts
7 → 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 (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (PI) (neg (* (* tau x) (PI))))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (PI.f32) tau))) x #s(literal 0 binary32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
Results
AccuracySegmentsBranch
64.5%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))))
64.5%1tau
64.5%1(*.f32 x (PI.f32))
64.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify48.0ms (1%)

Memory
-2.0MiB live, 45.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074289
194289
2183283
3552283
41756283
55060283
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (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 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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 x (*.f32 (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)))))
#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)))) (/.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))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (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 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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 x (*.f32 (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)))))
#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)))) (/.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))

derivations330.0ms (7.2%)

Memory
22.2MiB live, 307.4MiB allocated; 21ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 289 to 77 computations (73.4% saved)

preprocess58.0ms (1.3%)

Memory
-17.4MiB live, 116.8MiB allocated; 15ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 1 776 to 830 computations (53.3% saved)

end0.0ms (0%)

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

Profiling

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