Lanczos kernel

Time bar (total: 11.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze38.0ms (0.3%)

Memory
-36.9MiB live, 45.7MiB allocated
Algorithm
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)

sample1.5s (13.1%)

Memory
39.2MiB live, 2 549.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 907.0ms
ival-mult: 184.0ms (20.3% of total)
ival-sin: 153.0ms (16.9% of total)
const: 138.0ms (15.2% of total)
ival-<=: 137.0ms (15.1% of total)
ival-sinu: 124.0ms (13.7% of total)
ival-div: 103.0ms (11.4% of total)
ival-pi: 37.0ms (4.1% of total)
ival-and: 21.0ms (2.3% of total)
exact: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain135.0ms (1.2%)

Memory
-36.1MiB live, 217.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
49.0ms512×0valid
Compiler

Compiled 211 to 78 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sinu: 10.0ms (28.4% of total)
ival-mult: 9.0ms (25.6% of total)
ival-sin: 7.0ms (19.9% of total)
ival-div: 6.0ms (17.1% of total)
ival-pi: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess71.0ms (0.6%)

Memory
30.9MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Rules
1 192×neg-sub0
1 146×neg-mul-1
868×distribute-frac-neg
794×associate-*l*
772×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028123
188123
2415107
32253107
44724107
56828107
67824107
01021
01821
13121
28821
329621
469921
5108221
6111521
7111521
0111521
Stop Event
iter limit
saturated
iter limit
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 tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify24.0ms (0.2%)

Memory
-18.4MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.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))))
Rules
598×times-frac
578×lower-*.f64
572×lower-*.f32
540×lower-/.f64
536×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
01862
13162
28862
329662
469962
5108262
6111562
7111562
0111562
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (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
(*.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)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))

localize43.0ms (0.4%)

Memory
-10.5MiB live, 69.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3007176023150756
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.33203125
(*.f32 x (PI.f32))
accuracy0.3701362793053261
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.4036712890737681
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
30.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (47.9% of total)
ival-sinu: 4.0ms (17.4% of total)
ival-sin: 4.0ms (17.4% of total)
ival-div: 3.0ms (13.1% of total)
ival-pi: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
31.9MiB live, 31.9MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())
Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms
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) (/ (sin (* x (PI))) (* x (PI))) (* 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) (/ (sin (* x (PI))) (* x (PI))) (* 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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms
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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify242.0ms (2.1%)

Memory
-6.7MiB live, 215.0MiB allocated
Algorithm
egg-herbie
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
6 828×lower-+.f64
6 828×lower-+.f32
6 246×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961582
16201562
224071538
341371538
448711538
555501538
659401538
759711538
859711538
088161486
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32)))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 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))))))))
(fma.f32 (pow.f32 tau #s(literal 4 binary32)) (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))))) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) tau)
(* 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))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 tau (*.f32 (PI.f32) x)))
(* 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)))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 tau tau))) (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 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))))))))))
(fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 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))))))))))))))
(fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 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))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 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))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) x) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 tau #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 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)))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 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)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/5040 binary32)) (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 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)

rewrite201.0ms (1.7%)

Memory
-11.4MiB live, 238.3MiB allocated
Rules
4 760×lower-*.f64
4 754×lower-*.f32
3 316×lower-/.f64
3 312×lower-/.f32
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
16355
248353
3648553
0811453
Stop Event
iter limit
node limit
iter limit
Counts
6 → 670
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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) tau))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) tau) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 tau) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) x) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
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(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x))) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 1 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (*.f32 (cbrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (PI.f32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))

eval96.0ms (0.8%)

Memory
33.1MiB live, 215.0MiB allocated
Compiler

Compiled 24 307 to 2 341 computations (90.4% saved)

prune526.0ms (4.5%)

Memory
-262.7MiB live, 429.0MiB allocated
Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New972411 013
Fresh000
Picked101
Done000
Total973411 014
Accuracy
99.8%
Counts
1 014 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 x (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
98.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
98.0%
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
98.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
97.3%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.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))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
96.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
97.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
26.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 810 to 1 046 computations (42.2% saved)

simplify201.0ms (1.7%)

Memory
30.1MiB live, 220.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 tau (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff192
(/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
cost-diff128
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
cost-diff0
(*.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))))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
cost-diff192
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
Rules
20 404×lower-fma.f64
20 404×lower-fma.f32
4 112×lower-*.f64
4 092×lower-*.f32
3 074×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040327
071323
1156323
2489323
32498323
44619323
08209323
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) x))
tau
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
#s(literal 1 binary32)
(/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
Outputs
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
#s(literal 1 binary32)
(/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 x (PI.f32)) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))

localize366.0ms (3.1%)

Memory
-19.7MiB live, 142.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.33431625976844204
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
accuracy0.34765625
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy0.36328125
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
accuracy0.33203125
(*.f32 (neg.f32 (PI.f32)) x)
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.359375
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
accuracy0.49447250976844204
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
accuracy0.33203125
(*.f32 x (PI.f32))
accuracy0.36917880861065216
(*.f32 (*.f32 tau x) (PI.f32))
accuracy0.3701362793053261
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.4036712890737681
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
accuracy10.970381920846137
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy0.31087875976844204
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.34765625
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.3825187988422101
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
Samples
108.0ms256×0valid
Compiler

Compiled 327 to 34 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 40.0ms (56.8% of total)
ival-div: 16.0ms (22.7% of total)
ival-sin: 6.0ms (8.5% of total)
ival-sinu: 4.0ms (5.7% of total)
ival-neg: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (1%)

Memory
6.5MiB live, 89.5MiB allocated
Counts
24 → 504
Calls
Call 1
Inputs
#s(alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (PI.f32) x)) (patch (sin.f32 (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) x) (patch (*.f32 (PI.f32) x) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (patch (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (patch (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (patch (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (patch (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 tau x) (PI.f32)) (patch (*.f32 (*.f32 tau x) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)) (patch (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (neg.f32 (PI.f32)) x) (patch (*.f32 (neg.f32 (PI.f32)) x) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #<representation binary32>) () ())
Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* tau (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* tau (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* tau (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* tau (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (patch (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 (*.f32 x (PI.f32)) tau) (patch (*.f32 (*.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (* (PI) (sin (* x (PI)))))) (taylor 0 tau) (#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* tau (* x (PI))) (sin (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (patch (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* tau (* x (PI))) (sin (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (patch (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* tau (* x (PI))) (sin (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (patch (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (* x (PI)) (sin (* tau (* x (PI))))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (patch (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* x (PI)) (sin (* tau (* x (PI))))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (patch (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 tau x) (PI.f32)) (patch (*.f32 (*.f32 tau x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 tau x) (PI.f32)) (patch (*.f32 (*.f32 tau x) (PI.f32)) #<representation binary32>) () ())) ())
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#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (*.f32 (*.f32 tau x) (PI.f32)) (patch (*.f32 (*.f32 tau x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* tau (* x (PI)))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
32.0ms
x
@inf
((/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x)) (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (PI) x) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* tau (* (PI) x))) (* (PI) x)))
14.0ms
x
@-inf
((/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x)) (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (PI) x) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* tau (* (PI) x))) (* (PI) x)))
7.0ms
x
@0
((/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x)) (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (PI) x) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* tau (* (PI) x))) (* (PI) x)))
6.0ms
tau
@-inf
((/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x)) (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (PI) x) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* tau (* (PI) x))) (* (PI) x)))
5.0ms
tau
@0
((/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x)) (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (PI) x) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (sin (* tau (* (PI) x))) (* (PI) x)))

simplify246.0ms (2.1%)

Memory
26.7MiB live, 216.1MiB allocated
Algorithm
egg-herbie
Rules
8 904×lower-fma.f64
8 904×lower-fma.f32
5 868×lower-*.f64
5 868×lower-*.f32
4 624×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04958026
117377790
244717737
080447485
Stop Event
iter limit
node limit
Counts
504 → 501
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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1
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1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(+ 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))))))))))))))
1
(+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ 1 tau)
(+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (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))))
(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 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(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 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (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))))
(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 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(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 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ (* (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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(* x (PI))
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(* tau (* x (PI)))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 6))) (+ (* 1/720 (* (pow x 6) (pow (PI) 6))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
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(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
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(/ (sin (* x (PI))) (* tau (* x (PI))))
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(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* -1 (* (pow x 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* -1 (pow (PI) 2)) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4))))))))
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(* x (PI))
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(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
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(* tau (* x (PI)))
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#s(literal 1 binary32)
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(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
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tau
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(* tau (* x (PI)))
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1
#s(literal 1 binary32)
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tau
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(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
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(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
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(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
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(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* -1 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x))
(* -1 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x))
(* -1 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x))
(* -1 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x))
(* -1 (* x (PI)))
(*.f32 (neg.f32 (PI.f32)) x)
(* -1 (* x (PI)))
(*.f32 (neg.f32 (PI.f32)) x)
(* -1 (* x (PI)))
(*.f32 (neg.f32 (PI.f32)) x)
(* -1 (* x (PI)))
(*.f32 (neg.f32 (PI.f32)) x)
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))

rewrite309.0ms (2.6%)

Memory
-6.0MiB live, 304.4MiB allocated
Rules
3 894×lower-*.f64
3 874×lower-*.f32
3 414×lower-/.f64
3 392×lower-/.f32
1 136×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040263
071259
1261259
21630245
37985245
08013245
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 972
Calls
Call 1
Inputs
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.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))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Outputs
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) #s(literal -1 binary32)) (pow.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (pow.f32 (*.f32 (*.f32 tau x) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 tau x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)))
(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 tau))) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
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(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 1 binary32))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (*.f32 x (PI.f32)) #s(literal -1 binary32))
(*.f32 x (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))
(fma.f32 #s(literal 0 binary32) x (*.f32 (neg.f32 (PI.f32)) x))
(fma.f32 x #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (neg.f32 (PI.f32)) x))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (neg.f32 x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) x)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal -1 binary32))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(pow.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 1 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x)))

eval341.0ms (2.9%)

Memory
46.8MiB live, 683.9MiB allocated
Compiler

Compiled 79 761 to 4 773 computations (94% saved)

prune337.0ms (2.9%)

Memory
-31.7MiB live, 758.5MiB allocated
Pruning

57 alts after pruning (55 fresh and 2 done)

PrunedKeptTotal
New3 224333 257
Fresh142236
Picked325
Done000
Total3 241573 298
Accuracy
99.9%
Counts
3 298 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))))
66.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
72.6%
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.6%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x) (PI.f32)))
72.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
98.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
29.2%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
72.4%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
66.4%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))))
66.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(approx (sin (* tau (* (PI) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
72.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
97.3%
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
29.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
65.7%
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
66.5%
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
98.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
72.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
97.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
26.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.7%
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
66.5%
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 427 to 1 452 computations (40.2% saved)

simplify240.0ms (2.1%)

Memory
21.8MiB live, 243.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))
cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
cost-diff0
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
cost-diff0
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
cost-diff160
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
cost-diff192
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
cost-diff0
(fma.f32 tau tau #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff0
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
Rules
32 282×lower-fma.f64
32 276×lower-fma.f32
5 164×lower-+.f64
5 164×lower-+.f32
5 034×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051469
090467
1200467
2552465
31766465
43314465
54074465
65152465
76681465
86922465
96922465
08227465
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 tau tau #s(literal 1 binary32))
tau
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(*.f32 x x)
x
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
#s(literal 1 binary32)
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 #s(literal 1/6 binary32) tau)
#s(literal 1/6 binary32)
tau
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
x
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
#s(literal 1 binary32)
(*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))
(*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
x
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
(PI.f32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32)) (PI.f32))
(fma.f32 tau tau #s(literal 1 binary32))
tau
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(*.f32 x x)
x
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) tau)))
#s(literal 1 binary32)
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) tau)))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) tau)
(*.f32 #s(literal 1/6 binary32) tau)
#s(literal 1/6 binary32)
tau
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
x
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
#s(literal 1 binary32)
(*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))
(*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 x (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
x
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(PI.f32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))

localize130.0ms (1.1%)

Memory
-24.8MiB live, 262.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f32 x (PI.f32))
accuracy0.33431625976844204
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
accuracy0.36328125
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
accuracy0.36556625976844204
(*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.33431625976844204
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
accuracy0.35775375976844204
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.38804628907376804
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
accuracy0.3984375
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.571504907533892
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
accuracy18.1735031067848
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy6.754408829596356
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
accuracy17.098270199521696
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
accuracy26.322130726401724
(fma.f32 tau tau #s(literal 1 binary32))
accuracy0.30697250976844204
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
accuracy0.33203125
(*.f32 x (PI.f32))
accuracy0.33431625976844204
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
accuracy0.3473625488422101
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
Samples
95.0ms256×0valid
Compiler

Compiled 421 to 47 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 33.0ms (43.3% of total)
ival-div: 17.0ms (22.3% of total)
ival-sin: 11.0ms (14.4% of total)
const: 6.0ms (7.9% of total)
ival-add: 5.0ms (6.6% of total)
ival-sinu: 4.0ms (5.3% of total)
ival-pi: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory
23.2MiB live, 222.6MiB allocated
Counts
26 → 516
Calls
Call 1
Inputs
#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (patch (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 tau (*.f32 x (PI.f32))) (patch (*.f32 tau (*.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 x (PI.f32)) (patch (*.f32 x (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (patch (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (patch #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (PI.f32) x)) (patch (sin.f32 (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))) (patch (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) (patch (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (patch (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (patch (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (patch (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (patch (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (patch (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) x) (patch (*.f32 (PI.f32) x) #<representation binary32>) () ())
Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (patch (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (patch (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (patch (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (patch (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 tau (*.f32 x (PI.f32))) (patch (*.f32 tau (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 tau (*.f32 x (PI.f32))) (patch (*.f32 tau (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 tau (*.f32 x (PI.f32))) (patch (*.f32 tau (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (*.f32 tau (*.f32 x (PI.f32))) (patch (*.f32 tau (*.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* x (PI)) (taylor -inf x) (#s(alt (*.f32 (PI.f32) x) (patch (*.f32 (PI.f32) x) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
45.0ms
x
@inf
((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ 1 (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI))) (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI)) (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (* (PI) (PI)) (* (* (PI) (PI)) (* x x)) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
8.0ms
tau
@inf
((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ 1 (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI))) (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI)) (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (* (PI) (PI)) (* (* (PI) (PI)) (* x x)) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
7.0ms
tau
@-inf
((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ 1 (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI))) (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI)) (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (* (PI) (PI)) (* (* (PI) (PI)) (* x x)) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
7.0ms
tau
@0
((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ 1 (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI))) (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI)) (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (* (PI) (PI)) (* (* (PI) (PI)) (* x x)) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
7.0ms
x
@-inf
((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ 1 (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI))) (* (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (PI)) (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (* (PI) (PI)) (* (* (PI) (PI)) (* x x)) (* (* tau (* (PI) x)) (PI)) (* (PI) x))

simplify225.0ms (1.9%)

Memory
13.2MiB live, 366.6MiB allocated
Algorithm
egg-herbie
Rules
8 032×lower-fma.f64
8 032×lower-fma.f32
6 974×lower-*.f64
6 974×lower-*.f32
4 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05429692
119209217
253209203
080938844
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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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1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
1
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
1
(+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* x (pow (PI) 2)))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+ (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)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
1
(+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(/ 1 (PI))
(+ (* -1 (* (pow x 2) (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))))) (/ 1 (PI)))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (* 1/36 (* (pow tau 2) (pow (PI) 3)))))))) (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))))) (/ 1 (PI)))
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(/ 1 (* tau (PI)))
(+ (* 1/6 (* tau (* (pow x 2) (PI)))) (/ 1 (* tau (PI))))
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(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 5))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 3) (pow (PI) 3))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 3) (pow (PI) 3)))))) (* -1/6 (* tau (PI))))) (/ 1 (* tau (PI))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(* tau (* x (PI)))
(* x (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
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(sin (* x (PI)))
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(sin (* x (PI)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(/ x (sin (* tau (* x (PI)))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* tau (* x (pow (PI) 2)))
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(* tau (* x (pow (PI) 2)))
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(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ x (sin (* tau (* x (PI)))))
(/ x (sin (* tau (* x (PI)))))
(/ x (sin (* tau (* x (PI)))))
(/ x (sin (* tau (* x (PI)))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.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)))
(+ (* (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))))
(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 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 (PI.f32) x)) tau)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau)
(* 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)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau)
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.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)))
(+ (* (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))))
(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 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(* -1/6 (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (pow tau 2))
(fma.f32 tau tau #s(literal 1 binary32))
(+ 1 (pow tau 2))
(fma.f32 tau tau #s(literal 1 binary32))
(+ 1 (pow tau 2))
(fma.f32 tau tau #s(literal 1 binary32))
(/ (* x (PI)) (sin (* x (PI))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 7/360 binary32)) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (/.f32 (pow.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))))
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 tau) tau) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -7/360 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (/.f32 (pow.f32 x #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/840 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 7/360 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (/.f32 (pow.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))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.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)))
(+ (* (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))))
(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 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (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)))
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(* tau (* (PI) (sin (* x (PI)))))
(*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
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(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
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(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
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(fma.f32 (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 3 binary32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 2)) (sin (* x (PI))))))) (/ x (sin (* x (PI)))))
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(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 6)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 6)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 2)) (sin (* x (PI))))))) (/ x (sin (* x (PI)))))
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(/ 1 (* tau (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
(/ (+ (* 1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 3))) (* 1/120 (* (pow x 4) (pow (PI) 3)))))) (* -1/6 (* (pow x 2) (PI))))) (/ 1 (PI))) tau)
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(/ (+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 5))) (+ (* 1/720 (* (pow x 6) (pow (PI) 5))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 3))) (* 1/120 (* (pow x 4) (pow (PI) 3))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 3))) (* 1/120 (* (pow x 4) (pow (PI) 3)))))) (* -1/6 (* (pow x 2) (PI))))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 tau) tau) (fma.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal -7/360 binary32)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
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(* tau (* x (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(pow tau 2)
(*.f32 tau tau)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(pow tau 2)
(*.f32 tau tau)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
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tau
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(sin (* tau (* x (PI))))
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(* x (PI))
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(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
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(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
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(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
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(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
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(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* tau (* x (PI)))
(*.f32 tau (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 x x) #s(literal 1 binary32))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ x (sin (* tau (* x (PI)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)

rewrite383.0ms (3.3%)

Memory
-1.1MiB live, 399.8MiB allocated
Rules
5 914×lower-fma.f64
5 908×lower-fma.f32
4 722×lower-*.f64
4 694×lower-*.f32
4 050×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051365
090363
1356337
22169337
08566335
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 581
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 tau tau #s(literal 1 binary32))
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))
(*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) x)
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 tau (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
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(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (PI.f32) x) (/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (PI.f32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) #s(literal -1 binary32))
(neg.f32 (/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) x) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 tau (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (*.f32 (neg.f32 tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (PI.f32)))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(neg.f32 (*.f32 (neg.f32 tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 #s(literal -1 binary32) (*.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) x)
(*.f32 x (PI.f32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))

eval1.1s (9.1%)

Memory
-9.7MiB live, 458.0MiB allocated
Compiler

Compiled 65 395 to 4 683 computations (92.8% saved)

prune356.0ms (3%)

Memory
-27.4MiB live, 739.2MiB allocated
Pruning

83 alts after pruning (78 fresh and 5 done)

PrunedKeptTotal
New2 537472 584
Fresh193150
Picked235
Done022
Total2 558832 641
Accuracy
99.9%
Counts
2 641 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) x)
7.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))))
66.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
72.6%
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.6%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
96.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
98.0%
(/.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))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
98.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x) (PI.f32)))
72.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
72.4%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
97.7%
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
72.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.4%
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
98.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.8%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) #s(literal -1 binary32))) (*.f32 x (PI.f32))))
23.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
97.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
72.5%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
28.8%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
72.4%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
65.4%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
66.4%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
72.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))))
28.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) tau)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
30.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
72.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
28.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
30.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
16.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
32.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(approx (/ (* tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))) (PI.f32)))
65.7%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
65.7%
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
97.6%
(*.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))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
97.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
97.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
66.5%
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
4.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
6.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
38.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
5.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
4.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 3 380 to 2 134 computations (36.9% saved)

simplify107.0ms (0.9%)

Memory
14.8MiB live, 172.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 tau (*.f32 (PI.f32) x))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
cost-diff0
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
cost-diff160
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
cost-diff192
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
cost-diff0
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
cost-diff0
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
cost-diff64
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
cost-diff0
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
Rules
5 084×lower-*.f64
5 056×lower-*.f32
4 888×lower-fma.f64
4 882×lower-fma.f32
2 712×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066521
0107482
1243470
2777468
33966468
47378468
08013461
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(literal -1/6 binary32)
(*.f32 x x)
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
#s(literal -1/6 binary32)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(*.f32 (PI.f32) x)
(PI.f32)
x
#s(literal 2 binary32)
(fma.f32 tau tau #s(literal 1 binary32))
tau
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
#s(literal 1 binary32)
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 #s(literal 1/6 binary32) tau)
#s(literal 1/6 binary32)
tau
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
x
(/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(neg.f32 tau)
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 x (PI.f32)))
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
#s(literal 2 binary32)
(fma.f32 tau tau #s(literal 1 binary32))
tau
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
#s(literal 1 binary32)
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)
(*.f32 #s(literal 1/6 binary32) tau)
#s(literal 1/6 binary32)
tau
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
x
(/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 x (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(neg.f32 tau)

localize166.0ms (1.4%)

Memory
-13.7MiB live, 340.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.36947250976844204
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
accuracy0.3828125
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
accuracy0.38804628907376804
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
accuracy0.3984375
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.571504907533892
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
accuracy27.045472713719498
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
accuracy0.3828125
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
accuracy0.49837875976844204
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
accuracy6.754408829596356
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
accuracy29.314157314045428
(fma.f32 tau tau #s(literal 1 binary32))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy6.754408829596356
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
accuracy11.076674402350287
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy15.496807159661323
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.3007176023150756
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
accuracy0.33203125
(*.f32 (PI.f32) x)
accuracy0.35060502930532605
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
accuracy0.3701362793053261
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Samples
113.0ms256×0valid
Compiler

Compiled 436 to 58 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 37.0ms (39.8% of total)
ival-div: 17.0ms (18.3% of total)
ival-sin: 13.0ms (14% of total)
ival-sinu: 8.0ms (8.6% of total)
const: 7.0ms (7.5% of total)
ival-add: 6.0ms (6.5% of total)
ival-neg: 2.0ms (2.2% of total)
ival-pow2: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
15.5MiB live, 134.2MiB allocated
Counts
30 → 552
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (PI.f32) x)) (patch (sin.f32 (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) x) (patch (*.f32 (PI.f32) x) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) (patch (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (patch (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))) (patch (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (patch #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (patch (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (*.f32 tau (*.f32 (PI.f32) x)) (patch (*.f32 tau (*.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (patch (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (patch (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) x)) #<representation binary32>) () ())
Outputs
#s(alt (* tau (sin (* x (PI)))) (taylor 0 tau) (#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) (taylor 0 tau) (#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) (taylor 0 tau) (#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))) (taylor 0 tau) (#s(alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (patch (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (patch (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (patch (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (patch (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (patch (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2)))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2)))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2)))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) (patch (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (patch (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) (patch (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* -1/6 (* x x)) (* x x) (+ (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) 1) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (* -1/6 (pow (* (PI) x) 2)) (/ 1 (/ 1 (* (PI) x))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* (PI) (PI)) (+ (* tau tau) 1) (pow (* (PI) x) 2) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) (* (PI) x)))
7.0ms
tau
@-inf
((* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* -1/6 (* x x)) (* x x) (+ (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) 1) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (* -1/6 (pow (* (PI) x) 2)) (/ 1 (/ 1 (* (PI) x))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* (PI) (PI)) (+ (* tau tau) 1) (pow (* (PI) x) 2) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) (* (PI) x)))
5.0ms
x
@inf
((* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* -1/6 (* x x)) (* x x) (+ (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) 1) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (* -1/6 (pow (* (PI) x) 2)) (/ 1 (/ 1 (* (PI) x))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* (PI) (PI)) (+ (* tau tau) 1) (pow (* (PI) x) 2) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) (* (PI) x)))
5.0ms
tau
@inf
((* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* -1/6 (* x x)) (* x x) (+ (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) 1) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (* -1/6 (pow (* (PI) x) 2)) (/ 1 (/ 1 (* (PI) x))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* (PI) (PI)) (+ (* tau tau) 1) (pow (* (PI) x) 2) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) (* (PI) x)))
4.0ms
x
@0
((* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* -1/6 (* x x)) (* x x) (+ (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) 1) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (* -1/6 (pow (* (PI) x) 2)) (/ 1 (/ 1 (* (PI) x))) (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x))) (/ 1 (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (/ 1 (/ 1 (* (PI) x))))) (* (PI) x)))) (/ (* tau (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* (PI) (PI)) (+ (* tau tau) 1) (pow (* (PI) x) 2) (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (neg (sin (* (PI) x)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) (* (PI) x)))

simplify210.0ms (1.8%)

Memory
14.6MiB live, 326.7MiB allocated
Algorithm
egg-herbie
Rules
14 798×lower-fma.f64
14 798×lower-fma.f32
9 124×lower-*.f64
9 124×lower-*.f32
3 210×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04759342
117018694
270398689
082368326
Stop Event
iter limit
node limit
Counts
552 → 550
Calls
Call 1
Inputs
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(/ (* x (PI)) (sin (* x (PI))))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
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(* -1 (* tau (* x (pow (PI) 2))))
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(* tau (PI))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
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(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
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(* 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)))))))))
1
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(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
1
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(+ 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))))))))))
(+ 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))))))))))))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
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(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
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(sin (* x (PI)))
(sin (* x (PI)))
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(sin (* x (PI)))
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(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
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(* (pow x 2) (pow (PI) 2))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
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(sin (* x (PI)))
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(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
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(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* x (PI))
(* x (PI))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(/ (* tau (* x (PI))) (sin (* x (PI))))
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(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
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(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(/ (sin (* tau (* x (PI)))) x)
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(/ (sin (* tau (* x (PI)))) x)
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(sin (* tau (* x (PI))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
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Outputs
(* tau (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(/ (* x (PI)) (sin (* x (PI))))
(/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 7/360 binary32)) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 tau) tau) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (/.f32 (pow.f32 x #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -7/360 binary32)))))) (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* -1 (* tau (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 tau (neg.f32 (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1 (* (PI) (sin (* x (PI))))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))))))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) tau)
(* tau (+ (* -1 (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))))))
(*.f32 (fma.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) tau)
(* tau (+ (* -1 (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI)))))))))))))
(*.f32 (fma.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau))) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) tau)
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) x)) (*.f32 (PI.f32) tau))
(* tau (+ (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)))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) x (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 6 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 (PI.f32) tau))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 (PI.f32) x)) tau)
(* 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))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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1
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(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
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(* tau (+ 1 (* 1/6 (* (pow x 2) (pow (PI) 2)))))
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(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 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))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) tau) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 7/360 binary32)) (*.f32 x x))) (*.f32 x x) tau)
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 7/360 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) tau) #s(literal 1/840 binary32))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) tau)
(* -1 (* tau (* x (pow (PI) 2))))
(*.f32 (*.f32 x (neg.f32 tau)) (*.f32 (PI.f32) (PI.f32)))
(* x (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
(*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (*.f32 x x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) x)
(* x (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) x)
(* x (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))
(*.f32 (-.f32 (*.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (*.f32 x x) (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))))) (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) x)
(* tau (PI))
(*.f32 (PI.f32) tau)
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) tau)
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x) (*.f32 (PI.f32) tau))
(+ (* 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))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 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))))))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 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)))))))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 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))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 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))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) tau) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 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))))))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 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)))))))))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 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))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 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))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) tau) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 (*.f32 tau x) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 (*.f32 tau x) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 (*.f32 tau x) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 (*.f32 tau x) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x))
(*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) x) x)
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) x) x)
(* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 2))) (/ tau (pow x 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) x) x)
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(* (pow x 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)

rewrite243.0ms (2.1%)

Memory
-6.3MiB live, 336.3MiB allocated
Rules
5 202×lower-fma.f64
5 196×lower-fma.f32
5 094×lower-/.f64
5 076×lower-/.f32
4 148×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066420
0107393
1425379
22822379
08849372
Stop Event
iter limit
node limit
iter limit
Counts
30 → 1 506
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.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(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 x x)
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
#s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 tau tau #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
Outputs
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) x)
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x)
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (neg.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (fma.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(neg.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (exp.f32 (log.f32 x)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 1 binary32) x) (PI.f32))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 x #s(literal 1 binary32)) (PI.f32))
(*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (exp.f32 (log.f32 x)))
(*.f32 (PI.f32) (pow.f32 (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (PI.f32) x)
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal -1 binary32))
(/.f32 (neg.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x (PI.f32)) #s(literal -1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau))
(neg.f32 (/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
(neg.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 x (PI.f32)) (PI.f32))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (*.f32 #s(literal -1 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))
(exp.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 (*.f32 x (PI.f32))))))
(exp.f32 (+.f32 (log.f32 (*.f32 x (PI.f32))) (log.f32 (PI.f32))))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (log.f32 (*.f32 x (PI.f32)))))

eval275.0ms (2.4%)

Memory
38.5MiB live, 502.3MiB allocated
Compiler

Compiled 65 989 to 6 305 computations (90.4% saved)

prune376.0ms (3.2%)

Memory
-17.5MiB live, 699.2MiB allocated
Pruning

83 alts after pruning (77 fresh and 6 done)

PrunedKeptTotal
New2 581292 610
Fresh254873
Picked325
Done145
Total2 610832 693
Accuracy
99.9%
Counts
2 693 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) x)
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))))
7.7%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
97.6%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
95.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
96.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
98.0%
(/.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))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
96.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
98.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
96.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
72.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x) (PI.f32)))
72.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
72.4%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
97.7%
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
97.2%
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
72.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.4%
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.8%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) #s(literal -1 binary32))) (*.f32 x (PI.f32))))
97.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
72.5%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
28.6%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
72.4%
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))))
28.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32)) x) x tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
72.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))))
97.7%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
65.7%
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
97.6%
(*.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))))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
97.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
66.5%
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
3.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
4.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
6.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
7.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
6.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
32.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
38.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
78.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
71.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
71.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
65.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
7.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
5.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
4.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
65.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 837 to 1 699 computations (64.9% saved)

regimes217.0ms (1.9%)

Memory
24.9MiB live, 258.1MiB allocated
Counts
151 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) x)
(*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 x (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) 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))) x) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) #s(literal -1 binary32))) (*.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 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
Calls

4 calls:

92.0ms
x
42.0ms
tau
40.0ms
(*.f32 x (PI.f32))
37.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1tau
98.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.2%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes128.0ms (1.1%)

Memory
18.7MiB live, 170.1MiB allocated
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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(*.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 tau (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 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 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

39.0ms
tau
30.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
28.0ms
x
27.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1(*.f32 x (PI.f32))
98.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes136.0ms (1.2%)

Memory
-12.0MiB live, 142.5MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(approx (/ (* tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) tau)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(approx (sin (* tau (* (PI) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32)) x) x tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 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 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

39.0ms
(*.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))))
30.0ms
tau
23.0ms
x
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1tau
98.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes90.0ms (0.8%)

Memory
7.5MiB live, 127.1MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(approx (/ (* tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) tau)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(approx (sin (* tau (* (PI) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32)) x) x tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
Calls

4 calls:

24.0ms
x
22.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms
tau
20.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(*.f32 x (PI.f32))
97.9%1tau
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes96.0ms (0.8%)

Memory
-11.4MiB live, 142.3MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(approx (/ (* tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) tau)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(approx (sin (* tau (* (PI) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32)) x) x tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x))))
Outputs
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
Calls

4 calls:

27.0ms
(*.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))))
22.0ms
tau
22.0ms
x
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.7%1x
97.7%1(*.f32 x (PI.f32))
97.7%1tau
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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes83.0ms (0.7%)

Memory
9.2MiB live, 163.9MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (* (PI) x) (sin (* tau (* (PI) x)))) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(approx (/ (* tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) tau)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(approx (sin (* tau (* (PI) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) #s(approx (+ (* (* 1/6 tau) (* (* (PI) (PI)) (* x x))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1/6 binary32) (/.f32 tau (*.f32 x x))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (PI.f32)) (PI.f32)) x) x tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (/.f32 (sin.f32 (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
Outputs
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
Calls

4 calls:

20.0ms
x
20.0ms
(*.f32 x (PI.f32))
20.0ms
tau
20.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1tau
97.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes217.0ms (1.9%)

Memory
6.9MiB live, 120.6MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 4 binary32)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (* tau (* (PI) x)) (sin (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) tau) tau)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

152.0ms
tau
25.0ms
x
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))))
18.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
78.9%1x
78.9%1(*.f32 x (PI.f32))
78.9%1tau
78.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes51.0ms (0.4%)

Memory
21.2MiB live, 62.2MiB allocated
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
Calls

4 calls:

21.0ms
tau
9.0ms
(*.f32 x (PI.f32))
9.0ms
x
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
71.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.2%1x
71.2%1tau
71.2%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (0.3%)

Memory
-2.6MiB live, 71.8MiB allocated
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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (/ (* tau (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 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 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (/ x (sin (* tau (* x (PI))))) (/ (* tau (* x (PI))) (sin (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) 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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
Calls

4 calls:

11.0ms
(*.f32 x (PI.f32))
10.0ms
tau
9.0ms
x
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
71.2%1x
71.2%1tau
71.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.2%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes22.0ms (0.2%)

Memory
-2.1MiB live, 35.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.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 (*.f32 (*.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (* (PI) x) (sin (* tau (* (PI) x))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
Calls

4 calls:

6.0ms
tau
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))))
Results
AccuracySegmentsBranch
66.5%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))))
66.5%1x
66.5%1tau
66.5%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory
-22.8MiB live, 21.7MiB allocated
Accuracy

Total -19.9b remaining (-181.8%)

Threshold costs -19.9b (-181.8%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (* x x) (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
65.7%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))))
65.7%1x
65.7%1(*.f32 x (PI.f32))
65.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify64.0ms (0.5%)

Memory
5.2MiB live, 80.2MiB allocated
Algorithm
egg-herbie
Rules
424×distribute-lft-neg-in-binary32-*.f32-neg.f32
248×neg-mul-1-binary32-*.f32-neg.f32
240×neg-sub0-binary32--.f32-neg.f32
190×unsub-neg-binary32--.f32-neg.f32-+.f32
182×cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085331
1150331
2202331
3273325
4364325
5505325
6643325
7816325
8990325
91139325
101261325
111332325
121382325
131391325
141406325
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.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 (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(approx (+ (* tau tau) 1) (*.f32 tau tau))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 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)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(approx (* (* -1/6 (pow (* (PI) x) 2)) (+ (* tau tau) 1)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

soundness1.6s (14.1%)

Memory
-96.0MiB live, 1 077.1MiB allocated
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
14 798×lower-fma.f64
14 798×lower-fma.f32
9 124×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961582
16201562
224071538
341371538
448711538
555501538
659401538
759711538
859711538
088161486
040263
071259
1261259
21630245
37985245
08013245
066420
0107393
1425379
22822379
08849372
051365
090363
1356337
22169337
08566335
01055
01855
16355
248353
3648553
0811453
04759342
117018694
270398689
082368326
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 605 to 283 computations (53.2% saved)

preprocess72.0ms (0.6%)

Memory
-18.9MiB live, 136.9MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 176 to 492 computations (58.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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