Lanczos kernel

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze21.0ms (0.6%)

Memory
-11.8MiB live, 33.4MiB allocated; 8ms 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)

sample1.0s (28.5%)

Memory
6.5MiB live, 1 827.4MiB allocated; 286ms collecting garbage
Samples
772.0ms8 253×0valid
1.0ms3×1valid
Precisions
Click to see histograms. Total time spent on operations: 478.0ms
ival-mult!: 145.0ms (30.3% of total)
ival-sinu: 137.0ms (28.6% of total)
ival-sin: 126.0ms (26.3% of total)
ival-div!: 68.0ms (14.2% of total)
adjust: 2.0ms (0.4% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

explain124.0ms (3.4%)

Memory
-0.6MiB live, 291.6MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.775165319442749 3.8097057342529297)(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 -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+002
-00254
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
49.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sinu: 18.0ms (51.5% of total)
ival-sin: 6.0ms (17.2% of total)
ival-mult!: 6.0ms (17.2% of total)
ival-div!: 4.0ms (11.4% of total)
adjust: 0.0ms (0% of total)

preprocess130.0ms (3.6%)

Memory
17.5MiB live, 208.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

series31.0ms (0.8%)

Memory
-27.5MiB live, 66.2MiB allocated; 3ms collecting garbage
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

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

rewrite165.0ms (4.5%)

Memory
-8.1MiB live, 275.9MiB allocated; 20ms 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)

eval16.0ms (0.4%)

Memory
-2.0MiB live, 44.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune21.0ms (0.6%)

Memory
9.8MiB live, 57.3MiB allocated; 1ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New10624130
Fresh000
Picked101
Done000
Total10724131
Accuracy
99.7%
Counts
131 → 24
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))
97.5%
(/.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)))
97.6%
(/.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))))
75.1%
(/.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))))
80.0%
(/.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)))
76.5%
(/.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))))
▶98.1%
(/.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)))
▶98.0%
(/.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)))
80.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
76.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
75.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (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 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.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)))
97.5%
(*.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))))
88.9%
(*.f32 (/.f32 #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)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.8%
(*.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))))
83.3%
#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)))
69.3%
#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)))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶68.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 254 to 710 computations (43.4% saved)

series34.0ms (0.9%)

Memory
15.0MiB live, 70.0MiB allocated; 8ms collecting garbage
Counts
27 → 131
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 (sin.f32 (*.f32 (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 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
Outputs
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (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))))))))))))
#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))) (* (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)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (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 (* (* tau x) (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 (* (* tau x) (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 (* (* (* tau x) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
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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 (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 (* (PI) x)) x) (PI))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
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#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
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#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
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#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
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#s(approx tau #s(hole binary32 tau))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (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))))))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
tau
@0
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (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)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x))
5.0ms
x
@-inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (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)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x))
4.0ms
tau
@-inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (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)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x))
4.0ms
x
@inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (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)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x))
4.0ms
tau
@inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (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)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x))

rewrite267.0ms (7.3%)

Memory
23.9MiB live, 345.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05225576
05765302
129045198
0107844982
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
158 → 588
Calls
Call 1
Inputs
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(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* 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 (* (PI) x)) x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) x) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) (/ (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)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (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 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)))
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#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)) (/ (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 (* (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* 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)))

eval39.0ms (1.1%)

Memory
-2.8MiB live, 96.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 9 482 to 1 003 computations (89.4% saved)

prune45.0ms (1.2%)

Memory
-1.9MiB live, 141.1MiB allocated; 11ms collecting garbage
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New32227349
Fresh14519
Picked325
Done000
Total33934373
Accuracy
99.8%
Counts
373 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
62.4%
(/.f32 (/.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 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
75.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
80.0%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
76.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
88.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
75.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
▶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)))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.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 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
97.5%
(/.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)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
75.4%
(/.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)))
69.1%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
96.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
80.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
75.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
76.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
▶88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
75.3%
(*.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)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
97.6%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
83.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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))))
83.3%
#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)))
▶69.3%
#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)))
✓68.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 616 to 946 computations (41.5% saved)

series28.0ms (0.8%)

Memory
-6.0MiB live, 86.9MiB allocated; 4ms collecting garbage
Counts
35 → 137
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.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)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
#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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) 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)) (* (* (PI) x) 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)) (* (* (PI) x) 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)) (* (* (PI) x) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) 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 (* (* x (PI)) 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 (* (* 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 (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (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 (* (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 (* (* 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 (+ (* (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)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* 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 (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (* tau x) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) 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)) (* (* (PI) x) 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 (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* 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)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) 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)) (* (* (PI) x) 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)) (* (* (PI) x) 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)) (* (* (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 (* (* x (PI)) 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 (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* 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 (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
Calls

6 calls:

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

rewrite241.0ms (6.6%)

Memory
-20.6MiB live, 459.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05425761
06065466
129975380
0109275161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
172 → 502
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.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)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
#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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) x) 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)))))))
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#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* 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 (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #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 (* (* (PI) x) tau))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.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 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) tau))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (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 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 x (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (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 (PI.f32) x) tau))))
(/.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 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
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#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (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))) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 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))) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 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))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (sin (* (* x (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))

eval48.0ms (1.3%)

Memory
20.2MiB live, 145.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 10 457 to 1 073 computations (89.7% saved)

prune78.0ms (2.1%)

Memory
29.3MiB live, 161.0MiB allocated; 50ms collecting garbage
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New32620346
Fresh121527
Picked235
Done112
Total34139380
Accuracy
99.8%
Counts
380 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
62.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
75.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
▶80.0%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
76.5%
(/.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)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
88.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
75.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
98.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
✓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)))
97.5%
(/.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)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
75.4%
(/.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)))
▶68.4%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
69.1%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
96.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
80.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
88.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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))) (*.f32 (PI.f32) tau)))
75.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
▶88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
88.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
88.0%
(*.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))))
▶98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
88.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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))))
88.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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))))
69.7%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
97.4%
(*.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)))
▶97.6%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
83.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
#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)))
✓69.3%
#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)))
✓68.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 957 to 1 176 computations (39.9% saved)

series113.0ms (3.1%)

Memory
-39.6MiB live, 171.6MiB allocated; 104ms collecting garbage
Counts
36 → 150
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (sin (* (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)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (sin (* (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 (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)))
#s(approx (* (* x tau) (* (PI) (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (PI) (* (PI) x)) #s(hole binary32 (* x (pow (PI) 2))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* (PI) (sin (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow (PI) 3) (sin (PI)))))))) (* (PI) (sin (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow (PI) 3) (sin (PI)))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI)))))))))))) (* (PI) (sin (PI)))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (+ (PI) (* tau (* x (PI))))))
#s(approx (* (neg (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (neg (* (* x tau) (PI))) #s(hole binary32 (* -1 (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI))))))))
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#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (sin (* (* 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)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
59.0ms
x
@inf
((* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (* (PI) x) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))))
14.0ms
x
@0
((* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (* (PI) x) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))))
12.0ms
tau
@0
((* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (* (PI) x) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))))
8.0ms
x
@-inf
((* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (* (PI) x) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))))
7.0ms
tau
@-inf
((* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (* (PI) x) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (PI) x) (* (PI) x)) -1/6) 1) (* (* (PI) x) (* (PI) x)) -1/6 1 (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))))

rewrite204.0ms (5.6%)

Memory
23.9MiB live, 306.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07626157
08345745
145915696
084595482
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
186 → 346
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
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#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)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (neg.f32 (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 (/.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 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
x
tau
(PI.f32)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 (neg.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#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 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
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#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (neg.f32 (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) tau (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1/2 binary32))) tau (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) tau (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (sin (+ (* (* x tau) (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 (+ (* (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (neg.f32 (pow.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 (+ (* (* x tau) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* x tau) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval54.0ms (1.5%)

Memory
16.0MiB live, 153.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 12 649 to 1 348 computations (89.3% saved)

prune78.0ms (2.1%)

Memory
13.9MiB live, 200.8MiB allocated; 14ms collecting garbage
Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New37726403
Fresh102030
Picked325
Done044
Total39052442
Accuracy
99.8%
Counts
442 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
62.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
62.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
68.4%
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
75.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
80.0%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (PI.f32)) x))
61.8%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
76.5%
(/.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)))
80.1%
(/.f32 (*.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
88.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
75.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
✓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)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
82.5%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
75.4%
(/.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)))
✓68.4%
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
68.2%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
68.4%
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
88.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
88.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
71.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
80.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 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)))
88.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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))) (*.f32 (PI.f32) tau)))
75.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
88.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
✓98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
75.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
88.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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))))
97.4%
(*.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)))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))))
97.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
97.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
83.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
69.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
83.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
69.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
75.0%
(*.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
83.3%
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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)))
6.3%
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
✓69.3%
#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)))
✓68.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 133 to 1 273 computations (69.2% saved)

regimes123.0ms (3.4%)

Memory
-11.1MiB live, 229.2MiB allocated; 57ms collecting garbage
Counts
98 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 x (*.f32 (PI.f32) tau)))) (*.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 (*.f32 (PI.f32) tau)) (*.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) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (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 (PI.f32) x) tau))) (*.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 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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))) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.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)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.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 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (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 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 x tau) (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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (/.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 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (/.f32 #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)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.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:

24.0ms
tau
24.0ms
(*.f32 x (PI.f32))
22.0ms
x
22.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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)

regimes70.0ms (1.9%)

Memory
-12.5MiB live, 178.1MiB allocated; 5ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 x (*.f32 (PI.f32) tau)))) (*.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 (*.f32 (PI.f32) tau)) (*.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) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (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 (PI.f32) x) tau))) (*.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 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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))) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.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)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.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:

17.0ms
tau
17.0ms
(*.f32 x (PI.f32))
17.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms
x
Results
AccuracySegmentsBranch
98.0%1(*.f32 x (PI.f32))
98.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%1x
98.0%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes51.0ms (1.4%)

Memory
-7.1MiB live, 133.5MiB allocated; 4ms 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 x (*.f32 (PI.f32) tau)))) (*.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 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))))
Calls

4 calls:

13.0ms
tau
12.0ms
(*.f32 x (PI.f32))
12.0ms
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
97.9%1(*.f32 x (PI.f32))
97.9%1x
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (1.3%)

Memory
23.5MiB live, 120.8MiB allocated; 3ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
Calls

4 calls:

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))))
11.0ms
(*.f32 x (PI.f32))
11.0ms
tau
11.0ms
x
Results
AccuracySegmentsBranch
97.6%1(*.f32 x (PI.f32))
97.6%1x
97.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes44.0ms (1.2%)

Memory
-1.7MiB live, 92.1MiB allocated; 2ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
Calls

4 calls:

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

Compiled 26 to 18 computations (30.8% saved)

regimes46.0ms (1.3%)

Memory
-12.9MiB live, 83.5MiB allocated; 11ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
Calls

4 calls:

14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms
(*.f32 x (PI.f32))
10.0ms
tau
10.0ms
x
Results
AccuracySegmentsBranch
88.8%1(*.f32 x (PI.f32))
88.8%1x
88.8%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))))
88.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (1.1%)

Memory
28.0MiB live, 74.8MiB allocated; 2ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 #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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 tau x) (PI.f32))) (*.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))) (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 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.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))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
Calls

4 calls:

10.0ms
x
9.0ms
tau
9.0ms
(*.f32 x (PI.f32))
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
88.7%1(*.f32 x (PI.f32))
88.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.7%1x
88.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes25.0ms (0.7%)

Memory
4.8MiB live, 52.0MiB allocated; 1ms 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.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 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

7.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
tau
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
84.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.0%1tau
84.0%1(*.f32 x (PI.f32))
84.0%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.6%)

Memory
-8.8MiB live, 40.7MiB allocated; 3ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* 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 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) 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:

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))))
5.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
83.3%1(*.f32 x (PI.f32))
83.3%1x
83.3%1tau
83.3%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.3%)

Memory
-16.0MiB live, 31.1MiB allocated; 2ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (PI) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (*.f32 (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)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
69.7%1(*.f32 x (PI.f32))
69.7%1x
69.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
69.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Accuracy

Total -20.0b remaining (-198.5%)

Threshold costs -20b (-198.5%)

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

4 calls:

1.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
(*.f32 x (PI.f32))
1.0ms
tau
1.0ms
x
Results
AccuracySegmentsBranch
68.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.6%1(*.f32 x (PI.f32))
68.6%1x
68.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify48.0ms (1.3%)

Memory
-16.9MiB live, 76.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077315
197315
2186311
3551311
41769311
55048311
Stop Event
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))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

derivations296.0ms (8.1%)

Memory
19.1MiB live, 304.0MiB allocated; 15ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 315 to 80 computations (74.6% saved)

preprocess57.0ms (1.5%)

Memory
-21.0MiB live, 121.5MiB allocated; 16ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 840 to 260 computations (69% saved)

end0.0ms (0%)

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

Profiling

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