Lanczos kernel

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze15.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.2s (26.8%)

Memory
45.2MiB live, 1 055.7MiB allocated; 977ms collecting garbage
Samples
935.0ms8 254×0valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 753.0ms
ival-sinu: 386.0ms (51.3% of total)
ival-mult!: 178.0ms (23.7% of total)
ival-sin: 121.0ms (16.1% of total)
ival-div!: 64.0ms (8.5% of total)
adjust: 2.0ms (0.3% of total)
ival-<=: 1.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

explain109.0ms (2.5%)

Memory
-12.7MiB live, 185.6MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sin.f32 (*.f32 x (PI.f32)))
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-(*.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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 x (PI.f32)))cancellation10
Confusion
Predicted +Predicted -
+12
-0253
Precision
1.0
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+102
-01252
Precision?
0.5
Recall?
0.3333333333333333
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult!: 11.0ms (36.7% of total)
ival-sin: 8.0ms (26.7% of total)
ival-sinu: 7.0ms (23.3% of total)
ival-div!: 4.0ms (13.3% of total)
adjust: 0.0ms (0% of total)

preprocess189.0ms (4.3%)

Memory
1.6MiB live, 137.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

series31.0ms (0.7%)

Memory
4.0MiB live, 47.4MiB allocated; 6ms 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
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))))
6.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
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))))

rewrite211.0ms (4.8%)

Memory
5.3MiB live, 187.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval11.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune36.0ms (0.8%)

Memory
-7.6MiB live, 49.5MiB allocated; 29ms collecting garbage
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New9931130
Fresh000
Picked101
Done000
Total10031131
Accuracy
99.6%
Counts
131 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(/.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))
79.6%
(/.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))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.1%
(/.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)))
79.7%
(/.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))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
▶77.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶79.7%
(/.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))))
▶97.6%
(/.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)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.5%
(*.f32 (/.f32 (/.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))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
79.7%
(*.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))))
90.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
83.8%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.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))))
97.1%
(*.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))
▶97.3%
(*.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)))
82.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.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)))
97.2%
(*.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))))
77.4%
(*.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))))
76.7%
#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)))
62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.9%
#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))))
▶62.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 518 to 868 computations (42.8% saved)

series61.0ms (1.4%)

Memory
-26.0MiB live, 109.7MiB allocated; 10ms collecting garbage
Counts
28 → 135
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 (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 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (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 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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.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 (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))
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
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#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)))))))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#s(approx (/ (sin (* (* tau x) (PI))) (* tau x)) #s(hole binary32 (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)))
10.0ms
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)))
9.0ms
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)))
8.0ms
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)))
7.0ms
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) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)))

rewrite228.0ms (5.2%)

Memory
26.0MiB live, 208.7MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08145854
08725271
154035154
082764950
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
163 → 326
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)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) 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))) (* tau x)) #s(hole binary32 (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* tau x)) #s(hole binary32 (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (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 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))
(/.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 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x) (PI.f32))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x tau)
(*.f32 tau x)
tau
x
(PI.f32)
(/.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (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 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))
(/.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 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x tau) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (fma.f32 (PI.f32) 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 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(+.f32 (*.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))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32))))
(*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(fma.f32 x (PI.f32) (PI.f32))
(+.f32 (*.f32 (PI.f32) x) (PI.f32))
(+.f32 (PI.f32) (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau))))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))
(neg.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x)))
(*.f32 (*.f32 #s(literal -1 binary32) x) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (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 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))
(/.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 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (neg.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 (neg.f32 (PI.f32)) x))))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (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 (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (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 (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (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 (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 tau (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) tau) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x tau) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))) #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))) tau (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32) (*.f32 (*.f32 x tau) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)) (*.f32 x x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) x)) tau (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)))) tau (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) x)) tau (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 (neg.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 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) tau (*.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) (* tau x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau tau) (PI.f32)))
#s(approx (/ (sin (* (* tau x) (PI))) (* tau x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau))) (*.f32 tau tau) (PI.f32)))
#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)))

eval62.0ms (1.4%)

Memory
-23.5MiB live, 71.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 14 225 to 1 472 computations (89.7% saved)

prune48.0ms (1.1%)

Memory
25.0MiB live, 111.8MiB allocated; 11ms collecting garbage
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New42829457
Fresh141226
Picked325
Done000
Total44543488
Accuracy
99.8%
Counts
488 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.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))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
✓77.9%
(/.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))))
77.9%
(/.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 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (PI.f32) x))))
77.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (+.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
▶77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶59.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
79.6%
(/.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 tau x) (PI.f32))))
79.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
79.6%
(/.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 (PI.f32) x) tau)))
79.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
79.7%
(/.f32 (*.f32 (sin.f32 (+.f32 (*.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))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (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))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
83.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
69.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
78.4%
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
78.6%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
81.5%
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
69.8%
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
61.9%
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
62.7%
(/.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)))
97.5%
(*.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))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
79.7%
(*.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))))
83.8%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
69.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
83.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
▶97.6%
(*.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))))
▶97.4%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
77.4%
(*.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))))
76.7%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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)))
62.8%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
▶6.3%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
✓62.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 174 to 1 323 computations (39.1% saved)

series66.0ms (1.5%)

Memory
23.5MiB live, 123.1MiB allocated; 18ms collecting garbage
Counts
38 → 141
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
#s(literal 0 binary32)
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(neg.f32 (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(neg.f32 (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))))
(sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))
(+.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
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)))
#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 (/ (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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ 0 (* (PI) x)) #s(hole binary32 0))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (pow (sin (PI)) 2)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (* (PI) (* (cos (PI)) (sin (PI)))))) (pow (sin (PI)) 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (pow (sin (PI)) 2)))) (+ (* -1/2 (* (pow (PI) 2) (pow (sin (PI)) 2))) (* tau (* (pow (PI) 2) (pow (cos (PI)) 2)))))) (* (PI) (* (cos (PI)) (sin (PI))))))) (pow (sin (PI)) 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (pow (sin (PI)) 2)))) (+ (* -1/2 (* (pow (PI) 2) (pow (sin (PI)) 2))) (+ (* tau (* (pow (PI) 2) (pow (cos (PI)) 2))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (* -1/6 (* (pow (PI) 3) (* (cos (PI)) (sin (PI))))))))))))) (* (PI) (* (cos (PI)) (sin (PI))))))) (pow (sin (PI)) 2))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (+ (PI) (* tau (* x (PI))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
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Calls

6 calls:

TimeVariablePointExpression
15.0ms
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (neg (* (PI) x)) (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)) (* (* (neg (PI)) x) (* x tau)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (sin (* (+ x 1) (PI))) (* (+ x 1) (PI)) (+ x 1) 1)
14.0ms
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (neg (* (PI) x)) (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)) (* (* (neg (PI)) x) (* x tau)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (sin (* (+ x 1) (PI))) (* (+ x 1) (PI)) (+ x 1) 1)
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (neg (* (PI) x)) (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)) (* (* (neg (PI)) x) (* x tau)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (sin (* (+ x 1) (PI))) (* (+ x 1) (PI)) (+ x 1) 1)
9.0ms
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (neg (* (PI) x)) (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)) (* (* (neg (PI)) x) (* x tau)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (sin (* (+ x 1) (PI))) (* (+ x 1) (PI)) (+ x 1) 1)
6.0ms
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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (neg (* (PI) x)) (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)) (* (* (neg (PI)) x) (* x tau)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (sin (* (+ x 1) (PI))) (* (+ x 1) (PI)) (+ x 1) 1)

rewrite211.0ms (4.8%)

Memory
-12.0MiB live, 234.0MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08065778
08715003
153024851
082634666
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
179 → 374
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)))
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Outputs
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(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
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(*.f32 x (*.f32 (PI.f32) tau))
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x
tau
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#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)) (*.f32 x x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))) tau (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) 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 (*.f32 (neg.f32 x) (PI.f32)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) tau (*.f32 (neg.f32 x) (PI.f32))) tau #s(literal 0 binary32)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (*.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (PI.f32) (*.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))) (*.f32 tau tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 tau (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) #s(literal -1/6 binary32) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))) tau (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (fma.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32) (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)) (*.f32 x x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (+ x 1) (PI)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))) tau (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #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)))

eval90.0ms (2%)

Memory
-31.4MiB live, 70.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 14 948 to 1 573 computations (89.5% saved)

prune75.0ms (1.7%)

Memory
9.2MiB live, 101.3MiB allocated; 5ms collecting garbage
Pruning

55 alts after pruning (54 fresh and 1 done)

PrunedKeptTotal
New42922451
Fresh43236
Picked505
Done112
Total43955494
Accuracy
99.8%
Counts
494 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
79.6%
(/.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))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
59.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
77.9%
(/.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 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (PI.f32) x))))
77.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (neg.f32 (*.f32 (PI.f32) x))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
79.6%
(/.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 tau x) (PI.f32))))
79.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
79.6%
(/.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 (PI.f32) x) tau)))
79.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
59.1%
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
79.7%
(/.f32 (*.f32 (sin.f32 (+.f32 (*.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))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
▶97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
83.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
69.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
78.4%
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
60.4%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
78.6%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
81.5%
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
61.9%
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
61.9%
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
▶69.8%
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
61.9%
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
62.7%
(/.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)))
97.5%
(*.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))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
79.7%
(*.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))))
83.8%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
69.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
83.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
59.1%
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
83.6%
(*.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))))
83.0%
(*.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 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
69.7%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
97.2%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
▶97.7%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
97.1%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
96.8%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(approx (* (* (neg (PI)) x) (* x tau)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) (PI.f32))))
97.0%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
62.8%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
77.0%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
77.4%
(*.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))))
76.7%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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)))
62.8%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
▶6.3%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
✓62.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
52.1%
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
Compiler

Compiled 3 059 to 1 898 computations (38% saved)

series58.0ms (1.3%)

Memory
19.7MiB live, 115.3MiB allocated; 9ms collecting garbage
Counts
42 → 156
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(PI.f32)
x
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
tau
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (neg.f32 x) (PI.f32))
(neg.f32 x)
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 1))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 (+ 1 (* -1 (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))))))))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4)))))) (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))))))))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/5040 (pow (PI) 6)) (+ (* 1/720 (* (pow tau 2) (pow (PI) 6))) (* 1/720 (* (pow tau 4) (pow (PI) 6)))))))) (* -1 (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4))))))))))))
#s(approx (sin (* (neg (PI)) x)) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (sin (* (neg (PI)) x)) #s(hole binary32 (* x (+ (* -1 (PI)) (* 1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (neg (PI)) x)) #s(hole binary32 (* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (pow (PI) 5))) (* 1/6 (pow (PI) 3))))))))
#s(approx (sin (* (neg (PI)) x)) #s(hole binary32 (* x (+ (* -1 (PI)) (* (pow x 2) (+ (* 1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/120 (pow (PI) 5)) (* 1/5040 (* (pow x 2) (pow (PI) 7)))))))))))
#s(approx (* (neg (PI)) x) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (/ -1 (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (/ (- (* 1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (/ (- (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))) (* 1/6 (* (pow tau 2) (PI))))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (/ (- (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (pow (PI) 3))) (* 1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))))))) (/ 1 (PI))) x)))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (* (neg x) (PI)) (* (* (PI) x) tau)) #s(hole binary32 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (neg x) (PI)) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ 0 (* (PI) x)) #s(hole binary32 0))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (PI)))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* tau (* (PI) (sin (PI))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (neg (PI)) x) 0) #s(hole binary32 (* -1 (* x (PI)))))
#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 (* (neg (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (neg (* (PI) x)) #s(hole binary32 (* -1 (* x (PI)))))
#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))))))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (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 (* (* (* x tau) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) #s(hole binary32 1))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (* x (* (PI) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (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 (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 (* -1 (/ (* (sin (* -1 (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (sin (* (neg (PI)) x)) #s(hole binary32 (sin (* -1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (* (sin (+ (PI) (* tau (* x (PI))))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (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))))))
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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))) #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)))))
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#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) #s(hole binary32 (+ (* -1 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* -1 (* x (PI)))))))))))
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#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (- (* 1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (- (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* 1/6 (* x (PI))))) (/ 1 (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (- (* (pow tau 2) (+ (* 1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (pow (PI) 3))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) (/ 1 (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
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#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (/ (* tau (* (cos (PI)) (sin (+ (PI) (* x (PI)))))) (* x (PI))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (PI)) (sin (+ (PI) (* x (PI)))))) (* -1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
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#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#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))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
tau
@inf
((* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (neg (PI)) (PI) x (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) tau (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (neg x) (PI)) (neg x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
8.0ms
x
@-inf
((* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (neg (PI)) (PI) x (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) tau (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (neg x) (PI)) (neg x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
7.0ms
tau
@-inf
((* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (neg (PI)) (PI) x (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) tau (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (neg x) (PI)) (neg x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms
x
@inf
((* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (neg (PI)) (PI) x (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) tau (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (neg x) (PI)) (neg x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (sin (* (neg (PI)) x)) (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (neg (PI)) (PI) x (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) tau (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (neg x) (PI)) (neg x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* x (* (PI) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* x (* (PI) tau)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite260.0ms (5.9%)

Memory
-20.7MiB live, 257.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08586516
09315918
153455823
083495611
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
198 → 414
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(PI.f32)
x
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
tau
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (neg.f32 x) (PI.f32))
(neg.f32 x)
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#s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
Outputs
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal -1 binary32)))
(-.f32 (*.f32 (sin.f32 #s(literal 0 binary32)) (cos.f32 (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))) (*.f32 (cos.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))))
(fma.f32 (sin.f32 #s(literal 0 binary32)) (cos.f32 (*.f32 (PI.f32) x)) (*.f32 (cos.f32 #s(literal 0 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))
(fma.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (cos.f32 #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) (sin.f32 #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)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(+.f32 (*.f32 (sin.f32 #s(literal 0 binary32)) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 (cos.f32 #s(literal 0 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))
(+.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (cos.f32 #s(literal 0 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) (sin.f32 #s(literal 0 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x)))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (PI.f32) #s(literal 0 binary32))
(fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x (neg.f32 (PI.f32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32))
(neg.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal -1 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))))
(*.f32 #s(literal -1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -1 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))
(neg.f32 (PI.f32))
(PI.f32)
x
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
tau
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x))))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))
(neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x)))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (PI.f32) #s(literal 0 binary32))
(fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x (neg.f32 (PI.f32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32))
(neg.f32 (*.f32 (PI.f32) x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x)))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (PI.f32) #s(literal 0 binary32))
(fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x (neg.f32 (PI.f32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32))
(neg.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x))))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32))
(*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (*.f32 (PI.f32) x) tau))
(neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x)))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 0 binary32)))))
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#s(approx (sin (* (* (PI) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
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#s(approx (sin (* (* (PI) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
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#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) 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 (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
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#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* 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 (* (* (PI) x) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))

eval37.0ms (0.9%)

Memory
1.8MiB live, 46.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 9 916 to 1 149 computations (88.4% saved)

prune142.0ms (3.2%)

Memory
-1.8MiB live, 99.7MiB allocated; 24ms collecting garbage
Pruning

60 alts after pruning (56 fresh and 4 done)

PrunedKeptTotal
New28919308
Fresh123749
Picked235
Done011
Total30360363
Accuracy
99.8%
Counts
363 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
77.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
79.6%
(/.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))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
59.1%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
77.9%
(/.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 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (PI.f32) x))))
77.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (neg.f32 (*.f32 (PI.f32) x))))
81.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
79.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
79.6%
(/.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 (PI.f32) x) tau)))
79.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
59.1%
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
79.7%
(/.f32 (*.f32 (sin.f32 (+.f32 (*.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))))
77.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
✓97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
69.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
83.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
69.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
78.4%
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
60.4%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
78.6%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
61.9%
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
61.9%
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
61.9%
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
62.7%
(/.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)))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
79.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
✓97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
69.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
69.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
83.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
59.1%
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
97.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
83.6%
(*.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))))
83.0%
(*.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 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
69.7%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
81.9%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
97.3%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)) tau)))
97.2%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
97.5%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
97.1%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
97.1%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
62.8%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
77.3%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
77.0%
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
77.4%
(*.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))))
69.8%
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
76.7%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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)))
62.8%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
✓6.3%
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
52.1%
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
✓62.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 400 to 1 448 computations (67.1% saved)

regimes155.0ms (3.5%)

Memory
42.7MiB live, 182.5MiB allocated; 20ms collecting garbage
Counts
102 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 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 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 tau x) (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 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(approx (* (* (neg (PI)) x) (* x tau)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (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 (*.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 (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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau 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 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (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))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (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 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (+.f32 (*.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 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.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 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.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))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (+ (* (PI) x) (PI)) (*.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

57.0ms
(*.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))))
44.0ms
(*.f32 x (PI.f32))
28.0ms
tau
23.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1x
97.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes82.0ms (1.9%)

Memory
-9.9MiB live, 179.1MiB allocated; 23ms collecting garbage
Counts
71 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 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 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 tau x) (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 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(approx (* (* (neg (PI)) x) (* x tau)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (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 (*.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 (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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
Calls

4 calls:

20.0ms
(*.f32 x (PI.f32))
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))))
19.0ms
x
17.0ms
tau
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)

regimes65.0ms (1.5%)

Memory
-10.6MiB live, 125.3MiB allocated; 9ms collecting garbage
Counts
59 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 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 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 tau x) (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 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(approx (* (* (neg (PI)) x) (* x tau)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
Outputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))))
Calls

4 calls:

17.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
16.0ms
(*.f32 x (PI.f32))
16.0ms
tau
14.0ms
x
Results
AccuracySegmentsBranch
97.5%1(*.f32 x (PI.f32))
97.5%1x
97.5%1tau
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes105.0ms (2.4%)

Memory
-14.8MiB live, 83.5MiB allocated; 7ms collecting garbage
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 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 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.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 tau x) (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 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(approx (* (* (neg (PI)) x) (* x tau)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 x tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
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:

45.0ms
x
14.0ms
tau
14.0ms
(*.f32 x (PI.f32))
14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.4%1(*.f32 x (PI.f32))
97.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%1x
97.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes44.0ms (1%)

Memory
38.0MiB live, 81.5MiB allocated; 5ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Calls

4 calls:

13.0ms
(*.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))
10.0ms
x
Results
AccuracySegmentsBranch
97.3%1(*.f32 x (PI.f32))
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1x
97.3%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (1.2%)

Memory
-10.1MiB live, 88.1MiB allocated; 23ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))))
Calls

4 calls:

18.0ms
x
12.0ms
tau
9.0ms
(*.f32 x (PI.f32))
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.1%1(*.f32 x (PI.f32))
97.1%1x
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (1%)

Memory
1.8MiB live, 93.5MiB allocated; 5ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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 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:

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
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.8%1(*.f32 x (PI.f32))
83.8%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))))
83.8%1x
83.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes41.0ms (0.9%)

Memory
24.7MiB live, 70.1MiB allocated; 4ms collecting garbage
Counts
35 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (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 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Outputs
(*.f32 (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:

13.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
tau
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.6%1(*.f32 x (PI.f32))
83.6%1x
83.6%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))))
83.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes70.0ms (1.6%)

Memory
-25.8MiB live, 68.5MiB allocated; 10ms collecting garbage
Counts
33 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) 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 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
Calls

4 calls:

28.0ms
x
24.0ms
(*.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
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.3%1(*.f32 x (PI.f32))
83.3%1x
83.3%1tau
83.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes72.0ms (1.7%)

Memory
-10.2MiB live, 34.5MiB allocated; 6ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (neg (PI)) x)) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))))
Outputs
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
Calls

4 calls:

51.0ms
tau
7.0ms
x
7.0ms
(*.f32 x (PI.f32))
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
77.3%1tau
77.3%1(*.f32 x (PI.f32))
77.3%1x
77.3%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)

regimes22.0ms (0.5%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (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
x
5.0ms
(*.f32 x (PI.f32))
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
tau
Results
AccuracySegmentsBranch
76.7%1(*.f32 x (PI.f32))
76.7%1x
76.7%1tau
76.7%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)

regimes15.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
12 → 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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(approx (/ 0 (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1 binary32) #s(literal 0 binary32))) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.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 (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (neg (PI)) x)) (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* (neg (PI)) x) (* x tau)) (PI))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/.f32 #s(literal -1 binary32) (*.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:

4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
4.0ms
(*.f32 x (PI.f32))
3.0ms
tau
Results
AccuracySegmentsBranch
62.8%1(*.f32 x (PI.f32))
62.8%1x
62.8%1tau
62.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes26.0ms (0.6%)

Memory
-27.7MiB live, 18.0MiB allocated; 6ms collecting garbage
Accuracy

Total -17.9b remaining (-147.5%)

Threshold costs -17.9b (-147.5%)

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

4 calls:

19.0ms
x
2.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
Results
AccuracySegmentsBranch
62.1%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))))
62.1%1tau
62.1%1(*.f32 x (PI.f32))
62.1%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations406.0ms (9.3%)

Memory
13.6MiB live, 458.0MiB allocated; 82ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 352 to 95 computations (73% saved)

preprocess69.0ms (1.6%)

Memory
-21.4MiB live, 170.0MiB allocated; 16ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 2 154 to 1 022 computations (52.6% saved)

end0.0ms (0%)

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

Profiling

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