Lanczos kernel

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze28.0ms (0.7%)

Memory
-14.0MiB live, 31.6MiB allocated; 22ms 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)

sample986.0ms (25%)

Memory
23.3MiB live, 1 679.7MiB allocated; 294ms collecting garbage
Samples
735.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 556.0ms
ival-sinu: 188.0ms (33.8% of total)
ival-mult!: 151.0ms (27.1% of total)
ival-sin: 134.0ms (24.1% of total)
ival-div!: 82.0ms (14.7% 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

explain117.0ms (3%)

Memory
7.6MiB live, 243.0MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+03
-0253
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+003
-00253
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
48.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sinu: 8.0ms (29.9% of total)
ival-sin: 7.0ms (26.2% of total)
ival-mult!: 7.0ms (26.2% of total)
ival-div!: 4.0ms (14.9% of total)
adjust: 0.0ms (0% of total)

preprocess41.0ms (1%)

Memory
-21.8MiB live, 24.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
196136
2438128
32215128
43963128
55859128
66890128
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series30.0ms (0.8%)

Memory
14.2MiB live, 59.8MiB allocated; 4ms collecting garbage
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite175.0ms (4.4%)

Memory
20.1MiB live, 256.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631349
02791283
116081261
081191208
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
48 → 101
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (* x (PI)) tau) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
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#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval48.0ms (1.2%)

Memory
-24.0MiB live, 22.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune17.0ms (0.4%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New10327130
Fresh000
Picked101
Done000
Total10427131
Accuracy
99.7%
Counts
131 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
97.0%
(/.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)))
79.1%
(/.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))))
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))))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
82.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
79.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
▶97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
▶97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶82.6%
(*.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))))
79.2%
(*.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))))
94.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
84.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
70.4%
(*.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)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
97.2%
(*.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)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
97.6%
(*.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))))
79.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.7%
#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)))
79.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
64.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 406 to 792 computations (43.7% saved)

series78.0ms (2%)

Memory
-36.1MiB live, 107.1MiB allocated; 17ms collecting garbage
Counts
27 → 129
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 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 (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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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))))))))))))
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Calls

6 calls:

TimeVariablePointExpression
29.0ms
x
@0
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))))
13.0ms
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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))))
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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))))
7.0ms
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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))))
7.0ms
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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))))

rewrite191.0ms (4.8%)

Memory
52.5MiB live, 326.0MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06905505
07445107
142724984
085254783
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
156 → 467
Calls
Call 1
Inputs
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(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
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#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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* tau (* x (PI))))) (* tau (* x (PI)))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (+ (PI) (* tau (* x (PI)))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* x (+ (* tau (PI)) (/ (PI) x)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (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))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) x))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x tau) (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) tau (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) tau) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (pow.f32 (neg.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1/2 binary32))) tau (neg.f32 (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval93.0ms (2.4%)

Memory
-10.1MiB live, 92.6MiB allocated; 116ms collecting garbage
Compiler

Compiled 10 856 to 1 197 computations (89% saved)

prune57.0ms (1.4%)

Memory
-19.7MiB live, 125.1MiB allocated; 16ms collecting garbage
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New34230372
Fresh14822
Picked325
Done000
Total35940399
Accuracy
99.8%
Counts
399 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.8%
(/.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)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
82.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
97.6%
(/.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))))
82.5%
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
82.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
▶79.2%
(/.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))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
79.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (PI.f32)))
94.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
84.8%
(/.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)))
70.4%
(/.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)))
97.2%
(/.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)))
97.1%
(/.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)))
✓97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
97.3%
(/.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)))
70.4%
(/.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)))
64.0%
(/.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)))
▶82.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.2%
(*.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))))
84.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
70.4%
(*.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)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
97.6%
(*.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))))
84.0%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
97.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
▶79.6%
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.4%
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.7%
#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)))
78.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
64.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
▶6.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 114 to 1 231 computations (41.8% saved)

series50.0ms (1.3%)

Memory
18.2MiB live, 116.4MiB allocated; 10ms collecting garbage
Counts
38 → 146
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32)))
#s(literal 0 binary32)
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 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 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32)))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) tau)
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
Outputs
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
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#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
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#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
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#s(approx (sin (+ (* x (* (PI) tau)) (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 (* (PI) tau)) (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 (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (pow (* (* x tau) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* x tau) (PI))) (neg (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (PI) tau) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x))
10.0ms
tau
@inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (pow (* (* x tau) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* x tau) (PI))) (neg (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (PI) tau) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x))
7.0ms
x
@-inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (pow (* (* x tau) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* x tau) (PI))) (neg (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (PI) tau) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x))
7.0ms
tau
@-inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (pow (* (* x tau) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* x tau) (PI))) (neg (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (PI) tau) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x))
5.0ms
x
@0
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (pow (* (* x tau) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (* (neg (* (PI) x)) (* (* x tau) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* x tau) (PI))) (neg (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (PI) tau) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x))

rewrite182.0ms (4.6%)

Memory
-30.3MiB live, 305.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07195681
07845040
143964954
081544779
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
184 → 373
Calls
Call 1
Inputs
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(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
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#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* x (* (PI) tau)) (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 (* (PI) tau)) (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 (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.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 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (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 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) tau)
(*.f32 (pow.f32 (*.f32 tau x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32)) x)
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (pow.f32 (*.f32 tau x) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32)))
(*.f32 x (*.f32 (PI.f32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 1 binary32)))
(*.f32 tau x)
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (PI.f32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
#s(literal 0 binary32)
(*.f32 #s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (fabs.f32 (*.f32 (*.f32 tau x) (PI.f32))) (fabs.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (fabs.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (fabs.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))))
(*.f32 (exp.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (exp.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 x x))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))))
(*.f32 (pow.f32 (*.f32 tau x) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (*.f32 tau x) #s(literal 2 binary32)))
(*.f32 (*.f32 tau tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(pow.f32 (exp.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.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 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (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 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 2 binary32))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (neg.f32 x) (PI.f32)))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
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#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (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 (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))) tau))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) tau) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal 1/6 binary32))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (neg.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 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (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 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (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 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (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 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (neg.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 (neg.f32 (PI.f32)) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (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 (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))) tau))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) tau) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (pow.f32 (*.f32 (neg.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 (*.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (+ (* (pow (* (* x tau) (PI)) 2) -1/6) 1) (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (+ (* x (* (PI) tau)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* x (* (PI) tau)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval41.0ms (1%)

Memory
18.5MiB live, 111.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 14 326 to 1 586 computations (88.9% saved)

prune45.0ms (1.1%)

Memory
13.3MiB live, 118.0MiB allocated; 9ms collecting garbage
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New44715462
Fresh62733
Picked235
Done112
Total45646502
Accuracy
99.8%
Counts
502 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.8%
(/.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)))
▶97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
▶97.6%
(/.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))))
82.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
82.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
79.2%
(/.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 x tau) (PI.f32))))
✓79.2%
(/.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))))
53.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
▶97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
79.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (PI.f32)))
94.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
84.8%
(/.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)))
70.4%
(/.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)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
97.2%
(/.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)))
97.1%
(/.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)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
97.3%
(/.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)))
78.3%
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
70.4%
(/.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)))
63.0%
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
64.0%
(/.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)))
✓82.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.2%
(*.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))))
84.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
70.4%
(*.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)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
97.6%
(*.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))))
84.0%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓97.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
84.6%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.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 (*.f32 x tau) (PI.f32))))
▶84.2%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
97.2%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
97.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
79.6%
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
▶6.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
82.3%
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Compiler

Compiled 2 324 to 1 372 computations (41% saved)

series44.0ms (1.1%)

Memory
-28.7MiB live, 113.6MiB allocated; 3ms collecting garbage
Counts
33 → 129
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(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(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)
(fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)
(*.f32 (*.f32 x x) (PI.f32))
(*.f32 x x)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
#s(literal 1 binary32)
(*.f32 (PI.f32) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (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 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 x (*.f32 (*.f32 x tau) (PI.f32)))
Outputs
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (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 tau) (PI))) (* (* x tau) (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 tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #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 (/ 0 (* (* x tau) (PI))) #s(hole binary32 0))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (/ 1 (* tau (PI)))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI))))))
#s(approx (/ (* (* x x) (PI)) tau) #s(hole binary32 (/ (* (pow x 2) (PI)) tau)))
#s(approx (* (* x x) (PI)) #s(hole binary32 (* (pow x 2) (PI))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x)) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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))))))))))))))))
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#s(approx (* (* (* (* x tau) (PI)) (PI)) x) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
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#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (* x (+ 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 (* x (* (* x tau) (PI))) #s(hole binary32 (* tau (* (pow x 2) (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
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#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
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#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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
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#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))))
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#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (PI))))
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
tau
@-inf
((/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/ (* (* x x) (PI)) tau) (* (* x x) (PI)) (* x x) -1/6 (/ 1 (* (PI) tau)) 1 (* (PI) tau) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x) (* (* (* x tau) (PI)) (PI)) (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (* x (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) (PI)) (* x (* (* x tau) (PI))))
8.0ms
x
@-inf
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6.0ms
x
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6.0ms
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@0
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6.0ms
tau
@inf
((/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (* x tau) (PI))) 0 (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/ (* (* x x) (PI)) tau) (* (* x x) (PI)) (* x x) -1/6 (/ 1 (* (PI) tau)) 1 (* (PI) tau) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x)) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x) (* (* (* x tau) (PI)) (PI)) (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (* x (* (* x tau) (PI)))) (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (/ (sin (* (PI) x)) (PI)) (* x (* (* x tau) (PI))))

rewrite187.0ms (4.7%)

Memory
31.0MiB live, 310.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06535813
07135525
138095425
087685205
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
162 → 463
Calls
Call 1
Inputs
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#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (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 (* (PI) x)) (PI)) (sin (* (* x tau) (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 (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (PI)))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* 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)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* 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)) (PI)) #s(hole binary32 x))
#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (* x (+ 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 (* x (* (* x tau) (PI))) #s(hole binary32 (* tau (* (pow x 2) (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (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 (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (* -1/6 (/ (* x (PI)) tau))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (* -1/6 (/ (* (pow x 2) (PI)) tau))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (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 (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (PI))))
#s(approx (/ (sin (* (PI) x)) (PI)) #s(hole binary32 (/ (sin (* x (PI))) (PI))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (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 tau) (PI))) (* (* x tau) (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 tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) (* tau x))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)))
#s(approx (/ 1 (* (PI) tau)) #s(hole binary32 (/ 1 (* tau (PI)))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* x tau) (PI)) (PI)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* (* 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))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (* x (* (* x tau) (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (* x (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (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 (* (PI) x)) (PI)) (sin (* (* x tau) (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 (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) #s(hole binary32 (* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) (* tau x)))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) #s(hole binary32 (* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.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 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x)) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (neg.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 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))) (neg.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))))
(/.f32 (neg.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 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))))
(/.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)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
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#s(approx (/ (sin (* (PI) x)) (PI)) x)
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#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx tau tau)
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#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
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#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau x) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) tau))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) tau))
#s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x)))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) tau))
#s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
#s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)))

eval50.0ms (1.3%)

Memory
-36.5MiB live, 106.8MiB allocated; 20ms collecting garbage
Compiler

Compiled 15 249 to 1 614 computations (89.4% saved)

prune100.0ms (2.5%)

Memory
8.8MiB live, 198.1MiB allocated; 30ms collecting garbage
Pruning

68 alts after pruning (62 fresh and 6 done)

PrunedKeptTotal
New43135466
Fresh102737
Picked235
Done134
Total44468512
Accuracy
99.8%
Counts
512 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
68.8%
(/.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)))
97.4%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 tau x)) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x) (*.f32 (*.f32 tau x) (PI.f32)))
82.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
79.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) x))))
✓97.6%
(/.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))))
70.4%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
82.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
82.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
79.2%
(/.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 x tau) (PI.f32))))
✓79.2%
(/.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))))
53.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) x))
✓97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32))) x))
70.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
94.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
84.8%
(/.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)))
70.4%
(/.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)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
97.2%
(/.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)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
78.3%
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
70.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
64.1%
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
63.0%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
63.0%
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
64.0%
(/.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)))
79.2%
(*.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))))
84.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
70.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.0%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
✓97.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
84.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
84.0%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
84.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
84.2%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
84.3%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
84.0%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
84.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
84.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
70.2%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
84.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
84.4%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
84.3%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
97.2%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
97.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
84.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
79.6%
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.7%
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
64.0%
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
78.7%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
82.3%
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Compiler

Compiled 5 349 to 1 763 computations (67% saved)

regimes148.0ms (3.8%)

Memory
19.7MiB live, 248.7MiB allocated; 25ms collecting garbage
Counts
108 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.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 tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) 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))))
(/.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 x tau) (PI.f32))))
(/.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 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.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 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.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 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (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 x (*.f32 (PI.f32) tau) (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 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 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (neg.f32 (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))) (*.f32 tau x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 tau x)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

62.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
28.0ms
(*.f32 x (PI.f32))
27.0ms
tau
27.0ms
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)

regimes84.0ms (2.1%)

Memory
27.5MiB live, 212.2MiB allocated; 19ms collecting garbage
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.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 tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) 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))))
(/.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 x tau) (PI.f32))))
(/.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 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
Calls

4 calls:

23.0ms
x
20.0ms
(*.f32 x (PI.f32))
19.0ms
tau
19.0ms
(*.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%1tau
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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes104.0ms (2.6%)

Memory
35.0MiB live, 244.0MiB allocated; 61ms collecting garbage
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.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 tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) 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))))
(/.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 x tau) (PI.f32))))
(/.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 (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (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:

37.0ms
x
24.0ms
(*.f32 x (PI.f32))
21.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms
tau
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1x
97.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes86.0ms (2.2%)

Memory
-9.9MiB live, 138.5MiB allocated; 65ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.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 tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
Calls

4 calls:

40.0ms
(*.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))))
16.0ms
tau
16.0ms
(*.f32 x (PI.f32))
12.0ms
x
Results
AccuracySegmentsBranch
97.7%1(*.f32 x (PI.f32))
97.7%1x
97.7%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))))
97.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (1.3%)

Memory
-18.8MiB live, 125.4MiB allocated; 3ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x)))
Calls

4 calls:

12.0ms
tau
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
12.0ms
(*.f32 x (PI.f32))
11.0ms
x
Results
AccuracySegmentsBranch
97.3%1(*.f32 x (PI.f32))
97.3%1x
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (1.2%)

Memory
22.2MiB live, 117.1MiB allocated; 2ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 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)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
12.0ms
x
11.0ms
tau
11.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
84.9%1(*.f32 x (PI.f32))
84.9%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))))
84.9%1x
84.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (1.2%)

Memory
1.6MiB live, 97.1MiB allocated; 3ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.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 (*.f32 x tau) (PI.f32))))
Calls

4 calls:

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))))
11.0ms
tau
11.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
84.6%1(*.f32 x (PI.f32))
84.6%1x
84.6%1tau
84.6%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (1.2%)

Memory
5.7MiB live, 98.3MiB allocated; 4ms 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 (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) tau) (*.f32 tau #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) tau (*.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (*.f32 tau (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 tau tau)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32)) x (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x) (*.f32 (*.f32 tau x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 tau x)))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))))) x (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) (/.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 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 (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (pow.f32 (*.f32 (*.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))))
Calls

4 calls:

12.0ms
x
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
84.4%1(*.f32 x (PI.f32))
84.4%1x
84.4%1tau
84.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes39.0ms (1%)

Memory
-30.3MiB live, 65.0MiB allocated; 8ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
Calls

4 calls:

13.0ms
(*.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))))
8.0ms
tau
7.0ms
x
Results
AccuracySegmentsBranch
84.4%1(*.f32 x (PI.f32))
84.4%1x
84.4%1tau
84.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes28.0ms (0.7%)

Memory
20.5MiB live, 67.7MiB allocated; 1ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) x)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(approx (/ (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))))
Calls

4 calls:

7.0ms
x
6.0ms
tau
6.0ms
(*.f32 x (PI.f32))
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
84.3%1(*.f32 x (PI.f32))
84.3%1x
84.3%1tau
84.3%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)

regimes24.0ms (0.6%)

Memory
12.0MiB live, 59.3MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 tau x))))
Calls

4 calls:

6.0ms
tau
6.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
84.3%1(*.f32 x (PI.f32))
84.3%1x
84.3%1tau
84.3%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)

regimes23.0ms (0.6%)

Memory
9.2MiB live, 56.6MiB allocated; 1ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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
(*.f32 x (PI.f32))
5.0ms
tau
5.0ms
x
Results
AccuracySegmentsBranch
79.6%1(*.f32 x (PI.f32))
79.6%1x
79.6%1tau
79.6%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes63.0ms (1.6%)

Memory
-21.5MiB live, 44.5MiB allocated; 82ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) 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)))) (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))) (* (* x tau) (PI))) (sin (* (PI) x))) (* (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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (PI)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(approx (+ (* (/ (* (* x x) (PI)) tau) -1/6) (/ 1 (* (PI) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
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:

5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
(*.f32 x (PI.f32))
5.0ms
x
5.0ms
tau
Results
AccuracySegmentsBranch
78.7%1(*.f32 x (PI.f32))
78.7%1x
78.7%1tau
78.7%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes53.0ms (1.4%)

Memory
-25.8MiB live, 24.1MiB allocated; 5ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (PI) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Calls

4 calls:

45.0ms
tau
3.0ms
x
3.0ms
(*.f32 x (PI.f32))
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
64.1%1(*.f32 x (PI.f32))
64.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.1%1x
64.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
Outputs
(*.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
Calls

4 calls:

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

Compiled 26 to 18 computations (30.8% saved)

regimes22.0ms (0.6%)

Memory
-27.0MiB live, 20.7MiB allocated; 0ms collecting garbage
Accuracy

Total -18.3b remaining (-155%)

Threshold costs -18.3b (-155%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* (* x tau) (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

16.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
x
Results
AccuracySegmentsBranch
63.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.2%1tau
63.2%1(*.f32 x (PI.f32))
63.2%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations414.0ms (10.5%)

Memory
45.2MiB live, 562.4MiB allocated; 26ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 510 to 116 computations (77.3% saved)

preprocess90.0ms (2.3%)

Memory
-23.4MiB live, 209.2MiB allocated; 29ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 3 102 to 1 440 computations (53.6% saved)

end0.0ms (0%)

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

Profiling

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