Lanczos kernel

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze26.0ms (0.3%)

Memory
-33.1MiB live, 41.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.8s (21%)

Memory
73.5MiB live, 2 035.9MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 232.0ms (22.4% of total)
ival-div: 191.0ms (18.4% of total)
const: 148.0ms (14.3% of total)
ival-sin: 133.0ms (12.8% of total)
ival-<=: 132.0ms (12.7% of total)
ival-sinu: 122.0ms (11.8% of total)
ival-pi: 40.0ms (3.9% of total)
ival-and: 28.0ms (2.7% of total)
exact: 8.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain249.0ms (2.9%)

Memory
8.4MiB live, 161.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.3328095078468323 2.985452175140381)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 9.0ms (27.2% of total)
ival-sinu: 8.0ms (24.2% of total)
ival-sin: 7.0ms (21.1% of total)
ival-div: 6.0ms (18.1% of total)
ival-pi: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess112.0ms (1.3%)

Memory
-21.1MiB live, 86.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028123
188123
2415107
32254107
44738107
56834107
67826107
01021
01821
13121
28821
329621
469921
5108221
6111521
7111521
0111521
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify19.0ms (0.2%)

Memory
24.6MiB live, 24.6MiB allocated
Algorithm
1×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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
01862
13162
28862
329662
469962
5108262
6111562
7111562
0111562
Stop Event
1×iter limit
1×saturated
1×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))

localize71.0ms (0.8%)

Memory
-43.0MiB live, 21.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.4316788086106521
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.4557800781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Samples
63.0ms256×0valid
Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (47% of total)
ival-sinu: 4.0ms (18.8% of total)
ival-sin: 4.0ms (18.8% of total)
ival-div: 3.0ms (14.1% of total)
ival-pi: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
6 → 27
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
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 (* -1/6 (* (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)))))))))
(+ 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))
(/ (* (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))))
(/ (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 (* (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 (+ (* -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)))))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (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)))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms
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)))

simplify322.0ms (3.8%)

Memory
-9.6MiB live, 182.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196757
1620737
22402713
34133713
44863713
55548713
65938713
75969713
85969713
08814662
Stop Event
1×iter limit
1×node limit
Counts
27 → 27
Calls
Call 1
Inputs
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 (* -1/6 (* (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)))))))))
(+ 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))
(/ (* (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))))
(/ (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 (* (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 (+ (* -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)))))))))
Outputs
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 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) (*.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 (*.f32 (PI.f32) x) tau)
(* 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 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (pow.f32 x #s(literal 3 binary32)) (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))))))
(* 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 (pow.f32 x #s(literal 3 binary32)) (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)))))
(+ 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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(* 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 (*.f32 (PI.f32) x) tau)) (*.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 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32) (*.f32 (*.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 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ 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 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x)) (*.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 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (*.f32 (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 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(* 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 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #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)))) (pow.f32 tau #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)))))))))
(fma.f32 (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 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))

rewrite133.0ms (1.6%)

Memory
36.8MiB live, 186.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
16355
248353
3653053
0806553
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 654
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))
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(*.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))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))

eval83.0ms (1%)

Memory
-8.8MiB live, 178.4MiB allocated
Compiler

Compiled 20 903 to 2 309 computations (89% saved)

prune65.0ms (0.8%)

Memory
-2.7MiB live, 97.2MiB allocated
Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New80142843
Fresh000
Picked101
Done000
Total80242844
Accuracy
99.8%
Counts
844 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
97.3%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 tau x))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
96.2%
(/.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))))
97.8%
(/.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))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
97.7%
(/.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)))
97.9%
(/.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)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32))
97.4%
(/.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)))
▶97.5%
(/.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)))
96.9%
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) x))
97.4%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x)))
97.6%
(/.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))))
97.4%
(*.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)))))
97.9%
(*.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))))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.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))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x)) 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 (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))) 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 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
▶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))))
32.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.7%
(*.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))))
▶97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.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))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.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)))
97.7%
(*.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)))
63.9%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.6%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.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 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
27.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
97.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
▶63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 072 to 1 170 computations (43.5% saved)

simplify120.0ms (1.4%)

Memory
14.4MiB live, 168.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau)
cost-diff0
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff352
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.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))) 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
(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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040336
071340
1163326
2493326
32552326
45442326
08442326
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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 (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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
#s(literal 1 binary32)
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(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 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
#s(literal 1 binary32)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) 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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
#s(literal 1 binary32)
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(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 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.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 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 tau x)
(/.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))
(/.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 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)) (sin.f32 (*.f32 tau (*.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 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
#s(literal 1 binary32)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
(/.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))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)

localize99.0ms (1.2%)

Memory
9.5MiB live, 206.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4557800781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.49837875976844204
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
accuracy0.36947250976844204
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4192962890737681
(/.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)))
accuracy0.5433388183790943
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
accuracy0.40262175403870976
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.4296875
(*.f32 (*.f32 tau x) (PI.f32))
accuracy0.4316788086106521
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
accuracy0.4557800781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy11.788726394380094
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.4316788086106521
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.47103500976844204
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
Samples
71.0ms256×0valid
Compiler

Compiled 672 to 73 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 25.0ms (45.2% of total)
ival-div: 13.0ms (23.5% of total)
ival-sin: 9.0ms (16.3% of total)
ival-sinu: 4.0ms (7.2% of total)
ival-neg: 2.0ms (3.6% of total)
ival-pi: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
-1.1MiB live, 71.3MiB allocated
Counts
20 → 45
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
#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)))
(*.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 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
Outputs
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)))))))
(+ 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 (* -1/6 (* (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)))))))))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4))))) (* -1 (pow (PI) 2))))
(* (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))))))))
(* (pow x 2) (+ (* -1 (pow (PI) 2)) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (* (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))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(/ (sin (* tau (* x (PI)))) tau)
(+ (* -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 (* (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 (+ (* -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)))))))))
(* -1 (* x (* (PI) (sin (* x (PI))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))))))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((* (/ 1 (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (/ (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))) (* (* 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 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (* (* (/ (/ 1 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 1 (* (PI) x)) tau) (/ 1 (* (PI) x)) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms
x
@inf
((* (/ 1 (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (/ (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))) (* (* 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 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (* (* (/ (/ 1 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 1 (* (PI) x)) tau) (/ 1 (* (PI) x)) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms
x
@0
((* (/ 1 (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (/ (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))) (* (* 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 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (* (* (/ (/ 1 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 1 (* (PI) x)) tau) (/ 1 (* (PI) x)) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms
tau
@-inf
((* (/ 1 (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (/ (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))) (* (* 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 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (* (* (/ (/ 1 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 1 (* (PI) x)) tau) (/ 1 (* (PI) x)) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* (* (PI) x) (* (neg (PI)) x)))
3.0ms
tau
@inf
((* (/ 1 (* (PI) x)) (sin (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (/ (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))) (* (* 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 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (* (* (/ (/ 1 (* (PI) x)) tau) (sin (* tau (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 1 (* (PI) x)) tau) (/ 1 (* (PI) x)) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* (* (PI) x) (* (neg (PI)) x)))

simplify205.0ms (2.4%)

Memory
-0.4MiB live, 282.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02871317
19631266
239421208
081201130
Stop Event
1×iter limit
1×node limit
Counts
45 → 45
Calls
Call 1
Inputs
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)))))))
(+ 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 (* -1/6 (* (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)))))))))
(* -1 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4))))) (* -1 (pow (PI) 2))))
(* (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))))))))
(* (pow x 2) (+ (* -1 (pow (PI) 2)) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (* (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))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(/ (sin (* tau (* x (PI)))) tau)
(+ (* -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 (* (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 (+ (* -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)))))))))
(* -1 (* x (* (PI) (sin (* x (PI))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))))))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))
Outputs
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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (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 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 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 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 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #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 (*.f32 (PI.f32) x) tau)
(* 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 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (pow.f32 x #s(literal 3 binary32)) (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))))))
(* 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 (pow.f32 x #s(literal 3 binary32)) (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)))))
(* -1 (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4))))) (* -1 (pow (PI) 2))))
(*.f32 (*.f32 (neg.f32 x) x) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (PI.f32) (PI.f32))))
(* (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))))))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 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) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))
(* (pow x 2) (+ (* -1 (pow (PI) 2)) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))))))
(*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 x) x) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 1/6 binary32))) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 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))) (*.f32 tau tau))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau tau) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #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 7 binary32)) x) x))) (*.f32 x x))) (*.f32 (PI.f32) x))
(/ 1 (* tau (* x (PI))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau))
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.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 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/ (sin (* tau (* x (PI)))) tau)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)
(+ (* -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 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32) (*.f32 (*.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 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ 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 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #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 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(* 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)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) (*.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 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #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)))) (pow.f32 tau #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)))))))))
(fma.f32 (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 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))
(* -1 (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) x)))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #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 tau tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (pow.f32 tau #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) x))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) (*.f32 (PI.f32) x))
(+ (* 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 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #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 tau) (*.f32 (PI.f32) x))
(+ (* 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 (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 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x))

rewrite186.0ms (2.2%)

Memory
-1.7MiB live, 241.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040236
071226
1236226
21339214
37400214
08257214
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 637
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
#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)))
(*.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 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal -1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.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))) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.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 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (PI.f32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (PI.f32))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (neg.f32 tau)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))
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eval143.0ms (1.7%)

Memory
15.5MiB live, 239.5MiB allocated
Compiler

Compiled 28 914 to 2 988 computations (89.7% saved)

prune103.0ms (1.2%)

Memory
-25.6MiB live, 204.7MiB allocated
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New1 084191 103
Fresh191837
Picked145
Done000
Total1 104411 145
Accuracy
99.8%
Counts
1 145 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
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))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
▶97.7%
(/.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)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32))
97.4%
(/.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)))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
✓97.5%
(/.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)))
97.4%
(/.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)))
96.9%
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) x))
63.9%
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) tau) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
97.4%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x)))
▶98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
63.0%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
▶97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x)) 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 (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))) 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 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
✓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))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
97.7%
(*.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))))
97.4%
(*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.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))))
97.5%
(*.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)))
▶97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
63.9%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
63.8%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓97.6%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.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))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
▶63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
97.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
Compiler

Compiled 1 956 to 1 137 computations (41.9% saved)

simplify128.0ms (1.5%)

Memory
3.3MiB live, 158.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (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
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044386
077384
1174382
2482382
32001382
42662382
53319382
64438382
75996382
86284382
96798382
107135382
117767382
08065382
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 tau (PI.f32))
(/.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 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
#s(literal 1 binary32)
(/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 tau (*.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)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1/6 binary32)) #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 (fma.f32 tau tau #s(literal 1 binary32)) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1/6 binary32)) #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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) x)
(*.f32 (*.f32 x x) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 tau (PI.f32))
(/.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)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x x)))
(*.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 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x x)))
#s(literal 1 binary32)
(/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (*.f32 tau x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))

localize126.0ms (1.5%)

Memory
-19.0MiB live, 219.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3584175293053261
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
accuracy0.4296875
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
accuracy0.36328125
(*.f32 (PI.f32) x)
accuracy0.37890625
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.43167880861065216
(/.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)))
accuracy0.34375
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.3919525390737681
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy6.826500507203508
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
accuracy20.510642019500665
(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))
accuracy26.567352850542406
(fma.f32 tau tau #s(literal 1 binary32))
accuracy0.3584175293053261
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
accuracy0.36328125
(*.f32 x (PI.f32))
accuracy0.39880756837909415
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
Samples
86.0ms256×0valid
Compiler

Compiled 762 to 87 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 29.0ms (43.1% of total)
ival-div: 17.0ms (25.3% of total)
ival-sin: 10.0ms (14.9% of total)
ival-sinu: 5.0ms (7.4% of total)
const: 4.0ms (5.9% of total)
ival-add: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-3.8MiB live, 69.6MiB allocated
Counts
23 → 76
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (PI.f32))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) x)
Outputs
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))))))))))))))
(* 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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) x)
(* 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)))))))
(+ 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))))))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(* 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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* x (PI)))
(* -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))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(/ (* 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)))))
(sin (* 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))))
(+ 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)))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ 1 (pow tau 2))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(/ (* 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)))))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(+ 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 (+ (* -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)))))))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (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)))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
((/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (sin (* tau (* x (PI)))) (* tau (PI)))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (* (/ (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 (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI))))) (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (sin (* tau (* x (PI)))) (* (PI) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
8.0ms
tau
@-inf
((/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (sin (* tau (* x (PI)))) (* tau (PI)))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (* (/ (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 (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI))))) (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (sin (* tau (* x (PI)))) (* (PI) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
6.0ms
x
@0
((/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (sin (* tau (* x (PI)))) (* tau (PI)))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (* (/ (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 (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI))))) (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (sin (* tau (* x (PI)))) (* (PI) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
6.0ms
x
@inf
((/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (sin (* tau (* x (PI)))) (* tau (PI)))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (* (/ (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 (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI))))) (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (sin (* tau (* x (PI)))) (* (PI) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) x))
5.0ms
tau
@inf
((/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (sin (* tau (* x (PI)))) (* tau (PI)))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (/ (* (/ (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 (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI))))) (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (sin (* tau (* x (PI)))) (* (PI) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) x))

simplify199.0ms (2.3%)

Memory
23.5MiB live, 274.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04522362
115812182
269442182
080692036
Stop Event
1×iter limit
1×node limit
Counts
76 → 76
Calls
Call 1
Inputs
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))))))))))))))
(* 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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) x)
(* 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)))))))
(+ 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))))))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(* 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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* x (PI)))
(* -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))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(/ (* 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)))))
(sin (* 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))))
(+ 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)))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ 1 (pow tau 2))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(/ (* 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)))))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(+ 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 (+ (* -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)))))))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (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)))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
Outputs
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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #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 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 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 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 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 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(* 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))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/.f32 (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)) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) x)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)
(* 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)))))))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) tau) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 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 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x))) x)
(* 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))))))))))))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) tau) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal -1/720 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x x))) (*.f32 x x))) x)
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(+ (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)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 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))))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 x x)) (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32)) (PI.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(+ 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))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (neg.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32)) (PI.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (neg.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (/.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 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 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 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))))) (*.f32 x x) (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32)) (PI.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 x x))) (*.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (neg.f32 (*.f32 x x)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 tau #s(literal 6 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x x) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau tau))) (*.f32 x x) (PI.f32)) x)
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (neg.f32 (*.f32 x x)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x x) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.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 tau x) (PI.f32) (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (pow.f32 x #s(literal 3 binary32)) (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 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #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)))))
(/ (* (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 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) 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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 (*.f32 tau x) x) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/ (* tau (* x (PI))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(sin (* tau (* x (PI))))
(sin.f32 (*.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 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (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 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (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 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #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 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)))
(+ 1 (pow tau 2))
(fma.f32 tau tau #s(literal 1 binary32))
(* tau (* (PI) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau)
(* 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)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(* 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))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/ (* 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 (pow.f32 x #s(literal 3 binary32)) (*.f32 tau tau)) (/.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 (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) #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))))
(+ (* (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 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))) x (*.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) #s(literal 7/360 binary32) (*.f32 (neg.f32 (*.f32 tau tau)) (fma.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 7 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (/.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -7/360 binary32))) (sin.f32 (*.f32 (PI.f32) x))))))) (*.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)))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (PI.f32) x))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(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 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32)) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32) (*.f32 (neg.f32 (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x))
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(+ 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))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (neg.f32 (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 tau tau) #s(literal 1 binary32))
(* 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)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) (*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 tau #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)))))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))
(* (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 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))))
(pow tau 2)
(*.f32 tau tau)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))

rewrite267.0ms (3.1%)

Memory
-12.7MiB live, 183.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044269
077267
1291265
21788249
08435247
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 752
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (PI.f32))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) x)
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)) (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (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 tau (*.f32 (PI.f32) x)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (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 tau (*.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau))
(*.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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 tau) x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (neg.f32 tau))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (neg.f32 tau)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 (sin.f32 (*.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 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x) (pow.f32 (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) 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)) (neg.f32 x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) x) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
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(*.f32 (*.f32 tau x) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (*.f32 tau (PI.f32)) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 tau (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 x (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
(/.f32 (*.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 tau (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 x (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal 1 binary32)))
(neg.f32 (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(neg.f32 (neg.f32 (sin.f32 (*.f32 tau (*.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 (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(neg.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (neg.f32 (neg.f32 tau)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) x)
(*.f32 (neg.f32 tau) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) x) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 tau (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))))
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 tau (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) #s(literal 1 binary32))
(/.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x) (PI.f32)))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(*.f32 (neg.f32 (neg.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 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal -1 binary32))
(*.f32 (neg.f32 x) (neg.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 x) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(*.f32 (PI.f32) x)
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (PI.f32))
(/.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal -1 binary32))
(/.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (PI.f32)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.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 x (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (PI.f32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32))))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))

eval325.0ms (3.8%)

Memory
23.2MiB live, 293.5MiB allocated
Compiler

Compiled 62 404 to 6 150 computations (90.1% saved)

prune230.0ms (2.7%)

Memory
-41.6MiB live, 164.2MiB allocated
Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New2 053462 099
Fresh171532
Picked145
Done134
Total2 072682 140
Accuracy
99.8%
Counts
2 140 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32))
▶98.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
96.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
94.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)) (PI.f32)))
✓97.7%
(/.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)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32))
✓97.5%
(/.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)))
97.4%
(/.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)))
▶97.5%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
96.9%
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) x))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) x)
70.9%
(/.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)))
96.4%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
✓98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 x (PI.f32))))
▶32.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
63.8%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
63.0%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
70.9%
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
✓97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
70.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
92.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
63.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
63.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) x)) (PI.f32))) (*.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 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))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
97.7%
(*.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))))
97.4%
(*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
96.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (log.f32 (E.f32))))))
✓97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
63.8%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
70.7%
(*.f32 #s(approx (/ (sin (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
63.9%
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
▶62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
▶63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
39.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
4.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
4.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
Compiler

Compiled 3 989 to 2 296 computations (42.4% saved)

simplify237.0ms (2.8%)

Memory
31.8MiB live, 71.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) x)
cost-diff0
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff0
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
cost-diff0
(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))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
cost-diff384
(+.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)))
cost-diff0
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
cost-diff0
#s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff0
(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))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
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 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057493
094491
1203471
2625471
32350471
42876471
53169471
63458471
73727471
84165471
95973471
106495471
116570471
126641471
136666471
146666471
156909471
167077471
177085471
187089471
197093471
207093471
217153471
227157471
237157471
08265465
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.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 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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 (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 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
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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))
(+.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))
(*.f32 tau tau)
tau
(*.f32 x x)
x
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
#s(literal 1/6 binary32)
(*.f32 tau tau)
tau
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(*.f32 (*.f32 x x) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.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 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
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(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))
(fma.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
#s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 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
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x) #s(literal 1 binary32)))
(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))
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x) #s(literal 1 binary32))
(+.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 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))
(*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(*.f32 tau tau)
tau
(*.f32 x x)
x
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
#s(literal 1/6 binary32)
(*.f32 tau tau)
tau
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(*.f32 (*.f32 x x) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
(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 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))

localize225.0ms (2.6%)

Memory
2.1MiB live, 119.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.37890625
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4069137695368841
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
accuracy0.43167880861065216
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
accuracy0.39880756837909415
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
accuracy0.421875
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
accuracy6.562883720443904
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
accuracy17.95160863086255
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
accuracy0.2578125
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy6.826500507203508
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
accuracy20.249595632629344
(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))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy6.826500507203508
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
accuracy20.34796529874896
(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))
accuracy24.34578278963741
#s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
accuracy0.36328125
(*.f32 (PI.f32) x)
accuracy0.40262175403870976
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4293937988422102
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4557800781475362
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Samples
144.0ms256×0valid
Compiler

Compiled 890 to 109 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 58.0ms (58.9% of total)
ival-div: 12.0ms (12.2% of total)
ival-sin: 10.0ms (10.1% of total)
const: 7.0ms (7.1% of total)
ival-add: 6.0ms (6.1% of total)
ival-sinu: 5.0ms (5.1% of total)
ival-pi: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.7%)

Memory
-7.4MiB live, 31.2MiB allocated
Counts
29 → 77
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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 (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(+.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
Outputs
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 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(+ 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) (* -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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(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)))))))
(* 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))))))))))))))))
(/ 1 x)
(* 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)))))))))
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 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 (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* -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 tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(/ (* 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))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(/ (* tau (* x (PI))) (sin (* tau (* 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))))
(* 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))))))))))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(* 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)))))))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(+ 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))))))
(* 1/6 (pow tau 2))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (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)))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@inf
((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* (* (PI) (PI)) -1/6) (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (* -1/6 (* (PI) (PI))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (* (/ 1 x) (sin (* (PI) x))) (/ (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (/ 1 x) (sin (* tau (* (PI) x))) (* (PI) x) (* (PI) (PI)) (* (* -1/6 (* (PI) (PI))) (* tau tau)) (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* 1/6 (* tau tau)) (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (* (* tau (* (PI) x)) (PI)))
6.0ms
x
@-inf
((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* (* (PI) (PI)) -1/6) (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (* -1/6 (* (PI) (PI))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (* (/ 1 x) (sin (* (PI) x))) (/ (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (/ 1 x) (sin (* tau (* (PI) x))) (* (PI) x) (* (PI) (PI)) (* (* -1/6 (* (PI) (PI))) (* tau tau)) (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* 1/6 (* tau tau)) (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (* (* tau (* (PI) x)) (PI)))
5.0ms
tau
@-inf
((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* (* (PI) (PI)) -1/6) (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (* -1/6 (* (PI) (PI))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (* (/ 1 x) (sin (* (PI) x))) (/ (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (/ 1 x) (sin (* tau (* (PI) x))) (* (PI) x) (* (PI) (PI)) (* (* -1/6 (* (PI) (PI))) (* tau tau)) (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* 1/6 (* tau tau)) (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (* (* tau (* (PI) x)) (PI)))
5.0ms
tau
@inf
((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* (* (PI) (PI)) -1/6) (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (* -1/6 (* (PI) (PI))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (* (/ 1 x) (sin (* (PI) x))) (/ (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (/ 1 x) (sin (* tau (* (PI) x))) (* (PI) x) (* (PI) (PI)) (* (* -1/6 (* (PI) (PI))) (* tau tau)) (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* 1/6 (* tau tau)) (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (* (* tau (* (PI) x)) (PI)))
4.0ms
x
@0
((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* (* (PI) (PI)) -1/6) (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (* -1/6 (* (PI) (PI))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (* (/ 1 x) (sin (* (PI) x))) (/ (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (/ 1 x) (sin (* tau (* (PI) x))) (* (PI) x) (* (PI) (PI)) (* (* -1/6 (* (PI) (PI))) (* tau tau)) (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* 1/6 (* tau tau)) (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (* (* tau (* (PI) x)) (PI)))

simplify195.0ms (2.3%)

Memory
-16.9MiB live, 100.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04652164
115992024
264901922
081831803
Stop Event
1×iter limit
1×node limit
Counts
77 → 77
Calls
Call 1
Inputs
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 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(+ 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) (* -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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(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)))))))
(* 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))))))))))))))))
(/ 1 x)
(* 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)))))))))
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 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 (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* -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 tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(/ (* 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))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(/ (* tau (* x (PI))) (sin (* tau (* 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))))
(* 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))))))))))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(* 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)))))))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(+ 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))))))
(* 1/6 (pow tau 2))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (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)))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
Outputs
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 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #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 (*.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 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.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 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (*.f32 x x)))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.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)) (* 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 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(* 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))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 x x))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau tau) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 x) x) (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1/840 binary32)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x x))) (*.f32 x x) (PI.f32)) x)
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(+ (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)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(fma.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))))
(* 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)))))))))))
(fma.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (*.f32 x x)))))
(* 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))))))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (*.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) x) tau))
(* 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 (pow.f32 x #s(literal 3 binary32)) (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 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.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 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 x x)))))
(+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))) (* -1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 x) x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1/840 binary32)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (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 (PI.f32) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) 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 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (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))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 (*.f32 tau x) x) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(/ (* tau (* x (PI))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(+ (* -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 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32) (*.f32 (*.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 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* 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 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))) (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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))) (*.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 (*.f32 x x) #s(literal -1/6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (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 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) tau) tau)))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #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 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(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 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32)) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 tau) tau) (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/840 binary32)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x))
(* tau (* (PI) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) x) x) (PI.f32))) tau)
(* 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)))))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) x))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(* 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))))))))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) x) x) (PI.f32)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))) (pow.f32 tau #s(literal 4 binary32)))) tau)
(* 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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 tau #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)))))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)
(+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(+ 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))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 tau) tau) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/840 binary32)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32))) (*.f32 tau tau) #s(literal 1 binary32))
(* 1/6 (pow tau 2))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))
(* (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))

rewrite241.0ms (2.8%)

Memory
2.2MiB live, 248.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057420
094414
1345388
22286384
08465374
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 1 180
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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 (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(+.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
(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))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
(*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (pow.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x) #s(literal -1 binary32)) (pow.f32 (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 tau x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (/.f32 tau (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 x (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 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (*.f32 x (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 x (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) (pow.f32 (/.f32 x (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (pow.f32 (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (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 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (neg.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) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (*.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) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (neg.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 (neg.f32 tau) (*.f32 x (PI.f32))) x)))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 tau) (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.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))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (neg.f32 tau) (*.f32 x (PI.f32))))))
(*.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 x (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (*.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 tau (*.f32 x (PI.f32)))))
(*.f32 (*.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)) x) (*.f32 (neg.f32 tau) (*.f32 x (PI.f32))))))
(*.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 (neg.f32 (PI.f32)) x) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 tau) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
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(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) x) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) #s(literal -1 binary32))
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(+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)))
#s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1/6 binary32) tau) tau)
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))
(*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))
(*.f32 tau (*.f32 #s(literal 1/6 binary32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) x) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (*.f32 x (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) x))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #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(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32)))))
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32))) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) x)
(*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32)))
(*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(neg.f32 (*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))

eval183.0ms (2.1%)

Memory
25.1MiB live, 443.5MiB allocated
Compiler

Compiled 65 618 to 6 010 computations (90.8% saved)

prune142.0ms (1.7%)

Memory
-0.1MiB live, 328.3MiB allocated
Pruning

92 alts after pruning (86 fresh and 6 done)

PrunedKeptTotal
New1 709381 747
Fresh84856
Picked325
Done347
Total1 723921 815
Accuracy
99.8%
Counts
1 815 → 92
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) x) (*.f32 tau (*.f32 (PI.f32) x)))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (PI.f32))
✓98.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
96.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
94.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)) (PI.f32)))
✓97.5%
(/.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)))
97.4%
(/.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)))
97.5%
(/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal -1/2 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
70.7%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
96.9%
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) x))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
70.9%
(/.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)))
96.4%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 x (PI.f32))))
7.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
33.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
32.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
✓33.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
78.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
16.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) #s(approx (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))))
97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
63.9%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
63.8%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
63.0%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
63.0%
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
70.9%
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
70.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
92.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal -1 binary32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
63.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
63.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) x)) (PI.f32))) (*.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 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))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
97.4%
(*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
✓97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
63.8%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
97.6%
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
70.7%
(*.f32 #s(approx (/ (sin (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
96.9%
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
63.9%
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
✓63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
7.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)))
62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
62.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
17.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
64.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
39.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)))
4.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
4.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
4.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
Compiler

Compiled 7 706 to 2 414 computations (68.7% saved)

regimes177.0ms (2.1%)

Memory
0.5MiB live, 360.2MiB allocated
Counts
146 → 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.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 (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #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 (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))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (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)) (*.f32 (cbrt.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.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 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.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 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)) (PI.f32)))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
Calls

4 calls:

45.0ms
x
43.0ms
(*.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))))
43.0ms
(*.f32 x (PI.f32))
40.0ms
tau
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes116.0ms (1.4%)

Memory
-13.2MiB live, 260.1MiB allocated
Counts
97 → 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.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 (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) tau) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) #s(approx (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.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 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.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 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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) x)
(/.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 (PI.f32) (*.f32 tau (PI.f32))) 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:

29.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
28.0ms
(*.f32 x (PI.f32))
27.0ms
tau
27.0ms
x
Results
AccuracySegmentsBranch
98.0%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)

regimes101.0ms (1.2%)

Memory
16.1MiB live, 214.9MiB 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.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 (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) tau) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) #s(approx (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.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 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.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 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 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
Calls

4 calls:

25.0ms
(*.f32 x (PI.f32))
25.0ms
tau
24.0ms
x
23.0ms
(*.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
97.8%1x
97.8%1tau
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes94.0ms (1.1%)

Memory
-2.3MiB live, 154.4MiB allocated
Counts
69 → 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.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 (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) tau) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) #s(approx (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.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 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
Calls

4 calls:

27.0ms
x
22.0ms
tau
21.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1tau
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes84.0ms (1%)

Memory
34.6MiB live, 147.0MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
Calls

4 calls:

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))))
21.0ms
tau
21.0ms
(*.f32 x (PI.f32))
18.0ms
x
Results
AccuracySegmentsBranch
78.1%1x
78.1%1tau
78.1%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))))
78.1%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes86.0ms (1%)

Memory
-33.4MiB live, 167.4MiB allocated
Counts
66 → 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.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 (* x (PI))) (* (* x (PI)) x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) tau) (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) #s(approx (+ (* (* 1/6 (* tau tau)) (* (* (* x x) (PI)) (PI))) 1) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.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 x (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal -1 binary32)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
Calls

4 calls:

20.0ms
x
20.0ms
(*.f32 x (PI.f32))
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))))
19.0ms
tau
Results
AccuracySegmentsBranch
70.9%1x
70.9%1(*.f32 x (PI.f32))
70.9%1tau
70.9%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)

regimes57.0ms (0.7%)

Memory
21.4MiB live, 136.6MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 tau tau) x) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* -1/6 (* (PI) (PI))) (* tau tau))) (* x x)) 1) (*.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ 1 x) (sin (* (PI) x))) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fabs.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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32) (*.f32 (/.f32 (*.f32 (PI.f32) x) tau) (/.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) 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)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.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(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (* x (PI))) (sin (* x (PI)))) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (fma.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
Calls

4 calls:

15.0ms
(*.f32 x (PI.f32))
14.0ms
x
14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
12.0ms
tau
Results
AccuracySegmentsBranch
64.2%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))))
64.2%1x
64.2%1(*.f32 x (PI.f32))
64.2%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory
-12.1MiB live, 31.3MiB allocated
Accuracy

Total -5.7b remaining (-48.6%)

Threshold costs -5.7b (-48.6%)

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

12.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
63.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.2%1x
63.2%1(*.f32 x (PI.f32))
63.2%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify174.0ms (2%)

Memory
-3.9MiB live, 34.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066212
1108208
2256208
3881208
42850208
53492208
63492208
73523208
83523208
93523208
104215208
114233208
124239208
134242208
144243208
154243208
164906208
175099208
185154208
195172208
205172208
215172208
225226208
235226208
245226208
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(approx (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))) (+.f32 (*.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (* (/ 1 (* (PI) x)) (sin (* (PI) x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) (+.f32 (*.f32 (*.f32 x x) #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* (PI) x)) (sin (* (PI) x)))) #s(literal 1 binary32))

soundness1.2s (14%)

Memory
27.3MiB live, 995.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04522362
115812182
269442182
080692036
057420
094414
1345388
22286384
08465374
0196757
1620737
22402713
34133713
44863713
55548713
65938713
75969713
85969713
08814662
044269
077267
1291265
21788249
08435247
040236
071226
1236226
21339214
37400214
08257214
02871317
19631266
239421208
081201130
01055
01855
16355
248353
3653053
0806553
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 008 to 343 computations (66% saved)

preprocess37.0ms (0.4%)

Memory
34.6MiB live, 72.2MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 722 to 270 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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