Lanczos kernel

Time bar (total: 8.6s)

start0.0ms (0%)

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

analyze21.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.5s (17.4%)

Memory
19.6MiB live, 1 167.6MiB allocated; 302ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 922.0ms
ival-div: 168.0ms (18.2% of total)
ival-mult: 162.0ms (17.6% of total)
ival-sinu: 149.0ms (16.2% of total)
const: 131.0ms (14.2% of total)
ival-sin: 125.0ms (13.6% of total)
ival-<=: 88.0ms (9.5% of total)
ival-pi: 59.0ms (6.4% of total)
ival-and: 23.0ms (2.5% of total)
exact: 9.0ms (1% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain145.0ms (1.7%)

Memory
40.8MiB live, 233.5MiB allocated; 47ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.8866332769393921 1.1215139627456665)(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 -
+03
-0253
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+012
-00253
Precision?
1.0
Recall?
0.3333333333333333
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 9.0ms (27.7% of total)
ival-sinu: 8.0ms (24.6% of total)
ival-div: 6.0ms (18.5% of total)
ival-sin: 6.0ms (18.5% of total)
ival-pi: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess143.0ms (1.7%)

Memory
0.7MiB live, 193.3MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028123
178123
2362107
31859107
44136107
56121107
67082107
01021
01821
13121
28821
329521
469221
5113721
6174821
7384421
8745821
9757421
10777121
0801121
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify116.0ms (1.4%)

Memory
-25.5MiB live, 67.5MiB allocated; 9ms collecting garbage
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
329562
469262
5113762
6174862
7384462
8745862
9757462
10777162
0801162
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 (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))

localize32.0ms (0.4%)

Memory
-6.8MiB live, 36.0MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.29093516154407584
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.3359375
(*.f32 x (PI.f32))
accuracy0.38708881837909415
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.4466400390737681
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
23.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (25.4% of total)
ival-sinu: 4.0ms (25.4% of total)
ival-div: 3.0ms (19% of total)
ival-sin: 3.0ms (19% of total)
ival-pi: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
36.8MiB live, 36.8MiB allocated; 0ms collecting garbage
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)))
5.0ms
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)))

simplify197.0ms (2.3%)

Memory
-0.6MiB live, 138.6MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196743
1717721
23469697
08248646
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 #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 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)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (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 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 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 (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) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 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)))
(* 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 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.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))
(/ (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)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (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 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #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 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.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 (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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 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 (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) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))

rewrite180.0ms (2.1%)

Memory
-31.1MiB live, 219.8MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
15455
234953
3360253
0934853
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 333
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)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(*.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 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (/.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 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.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 (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 (sin.f32 (*.f32 (PI.f32) x)) x) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.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))) (*.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 (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)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (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))) (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))) (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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x))
(*.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 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))))
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(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (neg.f32 x))))
(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (PI.f32)) x))))
(log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 x (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (neg.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) x))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 x)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 x)))
(*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) x)))
(*.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)) (neg.f32 x)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.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)) (neg.f32 x)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
(fma.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) x (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(fma.f32 x (cosh.f32 (log.f32 (PI.f32))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))
(+.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32)))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (*.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (PI.f32) x))

eval55.0ms (0.6%)

Memory
-9.3MiB live, 133.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 15 775 to 1 925 computations (87.8% saved)

prune32.0ms (0.4%)

Memory
20.5MiB live, 67.3MiB allocated; 2ms collecting garbage
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New56230592
Fresh000
Picked101
Done000
Total56330593
Accuracy
99.8%
Counts
593 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
▶97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
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)))
▶97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
77.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.7%
(*.f32 (/.f32 (sin.f32 (+.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
87.0%
(*.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))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) tau)))
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)))
80.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶82.7%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.3%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
67.4%
(*.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))))
▶97.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
82.6%
(*.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))))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
82.6%
#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))))
96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 558 to 856 computations (45.1% saved)

simplify97.0ms (1.1%)

Memory
-3.0MiB live, 86.5MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
cost-diff0
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff3
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
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
(PI.f32)
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037319
065310
1145310
2381310
31140310
42217310
53449310
65112310
76630310
87657310
08061310
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (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)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (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 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(/.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.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
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (PI.f32))
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (PI.f32))
tau
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(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 (*.f32 tau x) (PI.f32)))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau x) (PI.f32))
tau
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(/.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

localize97.0ms (1.1%)

Memory
17.0MiB live, 110.4MiB allocated; 7ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.38708881837909415
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.4466400390737681
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.4591259656862817
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
accuracy4.685143281310324
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.35384750976844204
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.36328125
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
accuracy0.405292529305326
(/.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)))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.3483200195368841
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy0.4303512695368841
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
accuracy0.4466400390737681
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy10.707253861604382
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy0.32421875
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.4466400390737681
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4629288086106521
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
Samples
73.0ms256×0valid
Compiler

Compiled 323 to 33 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 17.0ms (33.3% of total)
ival-div: 12.0ms (23.5% of total)
ival-cos: 7.0ms (13.7% of total)
ival-sin: 6.0ms (11.8% of total)
ival-sinu: 6.0ms (11.8% of total)
ival-pi: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory
11.0MiB live, 54.2MiB allocated; 4ms collecting garbage
Counts
18 → 81
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.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 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)
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(/.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 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 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))))))))
(* 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)))))))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* tau (* x (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(/ (cos (* -1/2 (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (+ (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (* -1/2 (PI)))))) (* 1/6 (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* tau (* x (PI))))
(+ 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))))))))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(+ 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)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(cos (+ (* -1/2 (PI)) (* tau (* x (PI)))))
(/ (* (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/2 (/ (PI) x)) (* tau (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(* -1 (* x (+ (* -1 (* tau (PI))) (* 1/2 (/ (PI) x)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (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))))))))))
(+ (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)))))))))))
(* 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))))))))))))
(+ (cos (* -1/2 (PI))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (sin (* -1/2 (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (cos (* -1/2 (PI))) (sin (* x (PI)))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (cos (* -1/2 (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (sin (* -1/2 (PI))) (sin (* x (PI)))))))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(+ 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))))))))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(* tau (+ (* -1/2 (/ (PI) tau)) (* x (PI))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* 1/2 (/ (PI) tau)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
tau
@inf
((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (PI) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (+ (* (* tau (PI)) x) (/ (PI) -2)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))))
10.0ms
x
@-inf
((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (PI) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (+ (* (* tau (PI)) x) (/ (PI) -2)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))))
8.0ms
tau
@-inf
((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (PI) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (+ (* (* tau (PI)) x) (/ (PI) -2)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))))
6.0ms
x
@inf
((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (PI) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (+ (* (* tau (PI)) x) (/ (PI) -2)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))))
6.0ms
x
@0
((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (PI) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (+ (* (* tau (PI)) x) (/ (PI) -2)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))))

simplify173.0ms (2%)

Memory
-18.6MiB live, 158.5MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05112322
119012227
273352226
080362084
Stop Event
1×iter limit
1×node limit
Counts
81 → 81
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) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 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))))))))
(* 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)))))))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* tau (* x (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(/ (cos (* -1/2 (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (+ (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (* -1/2 (PI)))))) (* 1/6 (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* tau (* x (PI))))
(+ 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))))))))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(+ 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)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(cos (+ (* -1/2 (PI)) (* tau (* x (PI)))))
(/ (* (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/2 (/ (PI) x)) (* tau (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(* -1 (* x (+ (* -1 (* tau (PI))) (* 1/2 (/ (PI) x)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (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))))))))))
(+ (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)))))))))))
(* 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))))))))))))
(+ (cos (* -1/2 (PI))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(+ (cos (* -1/2 (PI))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (sin (* -1/2 (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (cos (* -1/2 (PI))) (sin (* x (PI)))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (cos (* -1/2 (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (sin (* -1/2 (PI))) (sin (* x (PI)))))))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(+ 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))))))))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(* tau (+ (* -1/2 (/ (PI) tau)) (* x (PI))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* 1/2 (/ (PI) tau)))))
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 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 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 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 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 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.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)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (*.f32 x x) (*.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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (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))) (* (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 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) 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 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(+ (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) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(cos (* -1/2 (PI)))
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (cos (* -1/2 (PI))) (* -1 (* tau (* x (* (PI) (sin (* -1/2 (PI))))))))
(fma.f32 (neg.f32 tau) (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))) x (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* tau (* (PI) (sin (* -1/2 (PI))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 tau tau)) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) x) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))) x (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/ (cos (* -1/2 (PI))) (* tau (* x (PI))))
(/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) tau))
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) tau))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -1/2 binary32))) x (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) tau))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (+ (* -1/6 (/ (* (PI) (cos (* -1/2 (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (* -1/2 (PI)))))) (* 1/6 (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -1/2 binary32)))) x (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) tau))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (*.f32 (PI.f32) tau) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) tau))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -1/2 binary32))) x (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) tau))) x)
(* -1/2 (PI))
(*.f32 #s(literal -1/2 binary32) (PI.f32))
(+ (* -1/2 (PI)) (* tau (* x (PI))))
(*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) 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) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(/ (* (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 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(cos (+ (* -1/2 (PI)) (* tau (* x (PI)))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32))))
(/ (* (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (cos (+ (* -1/2 (PI)) (* tau (* x (PI))))) (* tau (* x (PI))))
(/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/2 (/ (PI) x)) (* tau (PI))))
(*.f32 (fma.f32 (/.f32 (PI.f32) x) #s(literal -1/2 binary32) (*.f32 (PI.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)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* -1 (* x (+ (* -1 (* tau (PI))) (* 1/2 (/ (PI) x)))))
(*.f32 (neg.f32 x) (fma.f32 (neg.f32 (PI.f32)) tau (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) x))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x)))
(+ (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))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x)))
(+ (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)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (* (PI) (sin (* x (PI)))))
(*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau tau)) (*.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 -1/6 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
(* 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 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
(+ (cos (* -1/2 (PI))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x))) tau (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* -1/2 (PI))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1/2 (PI))))))))) (* x (* (PI) (sin (* -1/2 (PI))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))) tau) (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x))) tau (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (+ (* -1 (/ (* tau (* (sin (* -1/2 (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 x x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 tau (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (cos (* -1/2 (PI))) (sin (* x (PI)))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* -1/2 (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (cos (* -1/2 (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (sin (* -1/2 (PI))) (sin (* x (PI)))))))))))) (/ (* (cos (* -1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 x x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (fma.f32 (*.f32 tau x) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/6 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x)))) tau (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau)) tau)
(/ (+ (* -1 (* tau (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) tau (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* tau (* x (* (PI) (cos (* -1/2 (PI))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (*.f32 (PI.f32) tau) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) tau (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x))) tau)
(/ (+ (* tau (+ (* -1 (sin (* -1/2 (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* -1/2 (PI))))))))))) (/ (cos (* -1/2 (PI))) (* x (PI)))) tau)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 tau (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x)) #s(literal -1/2 binary32))) tau (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) tau (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (PI.f32) x))) tau)
(+ 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 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal -1/6 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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) x))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(* tau (+ (* -1/2 (/ (PI) tau)) (* x (PI))))
(*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/2 binary32) (*.f32 (PI.f32) x)) tau)
(* -1 (* tau (+ (* -1 (* x (PI))) (* 1/2 (/ (PI) tau)))))
(*.f32 (neg.f32 tau) (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (/.f32 (PI.f32) tau) #s(literal 1/2 binary32))))

rewrite314.0ms (3.7%)

Memory
30.4MiB live, 231.6MiB allocated; 146ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037229
065223
1222223
21132208
08784208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 895
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.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 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)
(cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(/.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 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau 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 (*.f32 tau x) (PI.f32))) (PI.f32)) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau 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 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) x)) (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 tau (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau)) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (*.f32 (*.f32 tau (neg.f32 x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x)) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (*.f32 x x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (PI.f32))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))) (*.f32 x (PI.f32))) tau)) (neg.f32 x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))))) (*.f32 (neg.f32 tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau))) (neg.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x))) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 x (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau))) (*.f32 x (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x)) tau)
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) (neg.f32 x))
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau (neg.f32 x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))

eval223.0ms (2.6%)

Memory
-3.6MiB live, 348.0MiB allocated; 85ms collecting garbage
Compiler

Compiled 57 393 to 5 903 computations (89.7% saved)

prune82.0ms (1%)

Memory
1.4MiB live, 150.3MiB allocated; 17ms collecting garbage
Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New1 878251 903
Fresh16925
Picked325
Done000
Total1 897361 933
Accuracy
99.9%
Counts
1 933 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) x) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
80.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 (PI.f32) x))
97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) x))
77.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (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)))
75.0%
(/.f32 (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
74.3%
(/.f32 (*.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
▶82.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
73.2%
(/.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)))
66.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
67.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.5%
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
77.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.0%
(*.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))))
97.3%
(*.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))))
97.7%
(*.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)))
79.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.4%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
71.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
67.4%
(*.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))))
▶97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
✓97.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
82.4%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
82.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
96.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
67.4%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
96.7%
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
▶82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
✓66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
82.3%
#s(approx (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
Compiler

Compiled 1 944 to 1 102 computations (43.3% saved)

simplify140.0ms (1.6%)

Memory
28.0MiB live, 118.8MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
cost-diff0
(*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
cost-diff2
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff0
(/.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)))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
cost-diff0
(fma.f32 tau tau #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff0
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
cost-diff0
(*.f32 tau x)
cost-diff0
(*.f32 (*.f32 tau x) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054447
097443
1223443
2719441
33325441
08158441
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 tau tau #s(literal 1 binary32))
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 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(/.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 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
(neg.f32 x)
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 x tau))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau x)
(*.f32 x tau)
tau
x
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) 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)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))) #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 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(/.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 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 x tau))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (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) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
(neg.f32 x)
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 (PI.f32) x)

localize213.0ms (2.5%)

Memory
-9.1MiB live, 282.4MiB allocated; 61ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.40234375
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
accuracy0.4466400390737681
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.4629288086106521
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
accuracy6.328373356748796
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.35384750976844204
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.3984375
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
accuracy0.405292529305326
(/.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)))
accuracy0.4375
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
accuracy0.4629288086106521
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy5.377182997915095
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))
accuracy0.0625
(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))
accuracy0.29296875
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy5.767126522597251
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
accuracy0.3359375
(*.f32 x (PI.f32))
accuracy0.37109375
(*.f32 (*.f32 tau x) (PI.f32))
accuracy0.38708881837909415
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.43263627930532605
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
Samples
156.0ms256×0valid
Compiler

Compiled 397 to 48 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 60.0ms (43.6% of total)
ival-div: 44.0ms (31.9% of total)
ival-sin: 15.0ms (10.9% of total)
ival-sinu: 8.0ms (5.8% of total)
ival-add: 4.0ms (2.9% of total)
const: 4.0ms (2.9% of total)
ival-pi: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
1.7MiB live, 93.6MiB allocated; 8ms collecting garbage
Counts
27 → 95
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(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 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.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 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau x)
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 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))))))))
(* 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))))))))))))))))
(* tau (PI))
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))
(+ (* 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 (PI))
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(/ (sin (PI)) (* x (PI)))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 3) (cos (PI))))) (* 1/6 (* (pow (PI) 3) (cos (PI))))))))))))
(PI)
(+ (PI) (* -1 (* x (PI))))
(+ 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 (* -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))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* 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 (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(sin (+ (PI) (* -1 (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* x (PI)))
(* x (+ (* -1 (PI)) (/ (PI) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* -1 (* x (+ (PI) (* -1 (/ (PI) x)))))
(+ (* -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 (+ (* -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 (+ (* -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))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (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))))))))))
(+ (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)))))))))))
(* 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 (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))
(/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI)))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI))))))))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* -1 (* x (PI))))))))))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* -1 (* 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))))))))
(* -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)))))
(* -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
17.0ms
x
@-inf
((* (sin (* (* tau x) (PI))) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (sin (+ (* (neg x) (PI)) (PI))) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (+ (* (neg x) (PI)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* -1/6 (* tau tau)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
11.0ms
tau
@-inf
((* (sin (* (* tau x) (PI))) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (sin (+ (* (neg x) (PI)) (PI))) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (+ (* (neg x) (PI)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* -1/6 (* tau tau)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
7.0ms
tau
@inf
((* (sin (* (* tau x) (PI))) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (sin (+ (* (neg x) (PI)) (PI))) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (+ (* (neg x) (PI)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* -1/6 (* tau tau)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
6.0ms
x
@inf
((* (sin (* (* tau x) (PI))) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (sin (+ (* (neg x) (PI)) (PI))) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (+ (* (neg x) (PI)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* -1/6 (* tau tau)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
5.0ms
x
@0
((* (sin (* (* tau x) (PI))) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (sin (+ (* (neg x) (PI)) (PI))) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (+ (* (neg x) (PI)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* -1/6 (* tau tau)) (* (* tau (* (PI) x)) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))

simplify155.0ms (1.8%)

Memory
18.0MiB live, 199.5MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05302322
120582166
266812166
089652024
Stop Event
1×iter limit
1×node limit
Counts
95 → 95
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 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau x)
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 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))))))))
(* 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))))))))))))))))
(* tau (PI))
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))
(+ (* 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 (PI))
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(/ (sin (PI)) (* x (PI)))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 3) (cos (PI))))) (* 1/6 (* (pow (PI) 3) (cos (PI))))))))))))
(PI)
(+ (PI) (* -1 (* x (PI))))
(+ 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 (* -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))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* tau (* 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 (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(sin (+ (PI) (* -1 (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* x (PI)))
(* x (+ (* -1 (PI)) (/ (PI) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* -1 (* x (+ (PI) (* -1 (/ (PI) x)))))
(+ (* -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 (+ (* -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 (+ (* -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))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (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))))))))))
(+ (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)))))))))))
(* 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 (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))
(/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI)))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI))))))))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* -1 (* x (PI))))))))))))
(+ (sin (+ (PI) (* -1 (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* -1 (* 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))))))))
(* -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)))))
(* -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 (*.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))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 (*.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))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (PI.f32) tau)) x)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(* 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)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(* tau x)
(*.f32 x tau)
(+ 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 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (*.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 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 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (*.f32 x x) (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)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (*.f32 x x) (*.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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (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))) (* (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 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)
(* tau (PI))
(*.f32 (PI.f32) tau)
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (PI.f32) tau))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau))
(sin (PI))
#s(literal 0 binary32)
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(*.f32 (PI.f32) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(*.f32 (PI.f32) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) x (PI.f32)) x)
(/ (sin (PI)) (* x (PI)))
#s(literal 0 binary32)
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) x)
(*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))))))))
(*.f32 (PI.f32) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 3) (cos (PI))))) (* 1/6 (* (pow (PI) 3) (cos (PI))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x (PI.f32)) x)
(PI)
(PI.f32)
(+ (PI) (* -1 (* x (PI))))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
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(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x) (*.f32 (*.f32 x (/.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) tau))))) (*.f32 tau tau) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))
(pow tau 2)
(*.f32 tau tau)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))

rewrite216.0ms (2.5%)

Memory
-4.7MiB live, 297.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054342
097342
1322335
21931326
08135321
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 788
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(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 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.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 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 (*.f32 x tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x)) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau)) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (neg.f32 x) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
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(+.f32 (/.f32 (pow.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))) (/.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))))
(+.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))) (/.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32))) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))))
(+.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))) (/.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (-.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))))
(+.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))
(+.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x))
(/.f32 (sin.f32 (neg.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))) (/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))) (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)) (neg.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (fabs.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (fabs.f32 (*.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (fabs.f32 (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 x))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 x))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(fabs.f32 (neg.f32 (*.f32 (neg.f32 x) (PI.f32))))
(fabs.f32 (*.f32 (neg.f32 x) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (neg.f32 (PI.f32)))) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.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)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(*.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 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 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))
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 tau)) (neg.f32 tau))
(*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)
(*.f32 (neg.f32 tau) (*.f32 (neg.f32 tau) #s(literal -1/6 binary32)))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 tau (*.f32 #s(literal -1/6 binary32) tau))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x tau))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 tau)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) (neg.f32 x) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (neg.f32 (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (PI.f32)) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (*.f32 x tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) (neg.f32 x) (PI.f32))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (PI.f32) x) tau)))
(neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))

eval95.0ms (1.1%)

Memory
-15.0MiB live, 170.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 33 541 to 3 547 computations (89.4% saved)

prune68.0ms (0.8%)

Memory
-15.3MiB live, 134.1MiB allocated; 5ms collecting garbage
Pruning

53 alts after pruning (49 fresh and 4 done)

PrunedKeptTotal
New86931900
Fresh111829
Picked325
Done022
Total88353936
Accuracy
99.9%
Counts
936 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
76.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) x) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
80.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 (PI.f32) x))
97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) x))
77.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x))
76.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (neg.f32 x) (PI.f32))))
80.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (PI.f32) x)))
80.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
75.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) (neg.f32 x) (PI.f32))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))) (*.f32 (PI.f32) x))
77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
✓77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
77.9%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
64.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
▶77.1%
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))) x)
81.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
✓82.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
▶73.2%
(/.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)))
67.3%
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
73.2%
(/.f32 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
82.3%
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
66.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
66.3%
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
81.0%
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
77.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
87.0%
(*.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))))
79.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.4%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
71.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
86.8%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32))))
✓97.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
82.4%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
82.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
▶96.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
67.4%
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
▶6.3%
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))
72.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
72.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
67.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
81.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
3.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
✓66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
82.3%
#s(approx (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
Compiler

Compiled 3 263 to 1 825 computations (44.1% saved)

simplify98.0ms (1.1%)

Memory
25.9MiB live, 118.7MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
cost-diff0
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
cost-diff2
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
cost-diff2
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
cost-diff0
(PI.f32)
cost-diff0
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
cost-diff0
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
cost-diff0
(/.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)))
cost-diff0
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) x) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048391
080382
1176378
2564378
32367378
45583378
56476378
67646378
08062378
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
x
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau)
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
(PI.f32)
(*.f32 (PI.f32) x)
x
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
tau
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (neg.f32 x) (PI.f32))
(neg.f32 x)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.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 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
tau
(*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* (PI) x)) 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 (PI.f32) x)
(*.f32 x (PI.f32))
x
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (sin.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
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau)))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau)
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.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 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(PI.f32)
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 x (PI.f32)))
tau
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (*.f32 (neg.f32 x) x) tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (neg.f32 x) (PI.f32))
(neg.f32 x)

localize153.0ms (1.8%)

Memory
-23.7MiB live, 121.2MiB allocated; 6ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.40072250976844204
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
accuracy0.41796875
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
accuracy0.5006352342864411
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
accuracy6.328373356748796
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
accuracy0.367851269536884
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
accuracy0.375
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
accuracy0.4303512695368841
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.35384750976844204
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.405292529305326
(/.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)))
accuracy8.409705605602657
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy29.983512647192228
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
accuracy0.29093516154407584
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
accuracy0.3359375
(*.f32 (PI.f32) x)
accuracy0.359375
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
accuracy0.4459762695368841
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
Samples
113.0ms256×0valid
Compiler

Compiled 351 to 40 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 30.0ms (36.3% of total)
ival-sin: 22.0ms (26.6% of total)
ival-div: 21.0ms (25.4% of total)
ival-sinu: 4.0ms (4.8% of total)
ival-neg: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
2.0MiB live, 48.7MiB allocated; 3ms collecting garbage
Counts
22 → 91
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
(PI.f32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(-.f32 (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))))))))))))))
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) x)
(/ (+ 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)))))))) x)
(* 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 (PI)) (* x (PI)))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) 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)))))))
(* 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))))))))
(sin (PI))
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* x (* (PI) (sin (PI)))))
(* x (+ (* -1 (* tau (* x (* (pow (PI) 2) (cos (PI)))))) (* tau (* (PI) (sin (PI))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* 1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* 1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))
x
(* 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 (pow (PI) 2))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(+ (PI) (* -1 (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(sin (- (PI) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI)))))
(/ (sin (* x (PI))) (PI))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* x (PI)))
(* x (- (/ (PI) x) (PI)))
(* -1 (* x (- (* -1 (/ (PI) x)) (* -1 (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))))
(+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 4)))))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 6)))) (* 1/120 (* (pow x 3) (pow (PI) 4))))))) (/ 1 x))
(* 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)))))))))
(/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI)))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(* 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))))))))))))
(/ (sin (- (PI) (* x (PI)))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (- (PI) (* x (PI)))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(* tau (* x (* (PI) (sin (- (PI) (* x (PI)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))) (* x (* (PI) (sin (- (PI) (* x (PI))))))))
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI))))))))))))
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))))))))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
tau
@-inf
((* (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI))) (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (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) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (sin (- (PI) (* (PI) x))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI)) (* (* tau (* (PI) x)) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) x) (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (- (PI) (* (PI) x)))
6.0ms
tau
@inf
((* (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI))) (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (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) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (sin (- (PI) (* (PI) x))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI)) (* (* tau (* (PI) x)) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) x) (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (- (PI) (* (PI) x)))
6.0ms
x
@-inf
((* (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI))) (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (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) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (sin (- (PI) (* (PI) x))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI)) (* (* tau (* (PI) x)) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) x) (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (- (PI) (* (PI) x)))
5.0ms
x
@inf
((* (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI))) (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (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) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (sin (- (PI) (* (PI) x))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI)) (* (* tau (* (PI) x)) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) x) (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (- (PI) (* (PI) x)))
4.0ms
tau
@0
((* (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI))) (/ (sin (* (* (PI) x) tau)) (* x (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (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) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (sin (- (PI) (* (PI) x))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau))) (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (PI)) (* (* tau (* (PI) x)) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) x) (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (- (PI) (* (PI) x)))

simplify156.0ms (1.8%)

Memory
14.3MiB live, 58.8MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05182224
119752064
264162042
085571920
Stop Event
1×iter limit
1×node limit
Counts
91 → 90
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 x)
(/ (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) x)
(/ (+ 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)))))))) x)
(* 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 (PI)) (* x (PI)))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) 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)))))))
(* 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))))))))
(sin (PI))
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* x (* (PI) (sin (PI)))))
(* x (+ (* -1 (* tau (* x (* (pow (PI) 2) (cos (PI)))))) (* tau (* (PI) (sin (PI))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* 1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* 1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))
x
(* 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 (pow (PI) 2))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(+ (PI) (* -1 (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(sin (- (PI) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI)))))
(/ (sin (* x (PI))) (PI))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* x (PI)))
(* x (- (/ (PI) x) (PI)))
(* -1 (* x (- (* -1 (/ (PI) x)) (* -1 (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))))
(+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 4)))))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 6)))) (* 1/120 (* (pow x 3) (pow (PI) 4))))))) (/ 1 x))
(* 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)))))))))
(/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI)))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(* 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))))))))))))
(/ (sin (- (PI) (* x (PI)))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (- (PI) (* x (PI)))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(* tau (* x (* (PI) (sin (- (PI) (* x (PI)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))) (* x (* (PI) (sin (- (PI) (* x (PI))))))))
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI))))))))))))
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))))))))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
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 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) x)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)) x)
(/ (+ 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)))))))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) x)
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (PI.f32) tau)) x)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(* 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)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(/ (sin (PI)) (* x (PI)))
#s(literal 0 binary32)
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (PI))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))) (/ (sin (PI)) (PI))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* (PI) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (PI))) x)
(*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))
(* tau (* x (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (*.f32 x x) (*.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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (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))) (* (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 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) 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 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(+ (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) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))
(* x (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)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)
(sin (PI))
#s(literal 0 binary32)
(+ (sin (PI)) (* -1 (* x (* (PI) (cos (PI))))))
(*.f32 (PI.f32) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))))))
(*.f32 (PI.f32) x)
(+ (sin (PI)) (* x (+ (* -1 (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* 1/6 (* x (* (pow (PI) 3) (cos (PI))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 0 binary32)) x (PI.f32)) x)
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(* tau (* x (* (PI) (sin (PI)))))
#s(literal 0 binary32)
(* x (+ (* -1 (* tau (* x (* (pow (PI) 2) (cos (PI)))))) (* tau (* (PI) (sin (PI))))))
(*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* -1 (* tau (* (pow (PI) 2) (cos (PI))))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* 1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* 1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))
(*.f32 (fma.f32 (fma.f32 (neg.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32)))) tau (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) x) x #s(literal 0 binary32))) x #s(literal 0 binary32)) x)
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)
(* 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))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(/ 1 (* x (PI)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x x))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(+ (PI) (* -1 (* x (PI))))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (- (PI) (* x (PI))))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (- (PI) (* x (PI)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)))
(* -1 (* x (PI)))
(*.f32 (neg.f32 x) (PI.f32))
(* x (- (/ (PI) x) (PI)))
(*.f32 (-.f32 (/.f32 (PI.f32) x) (PI.f32)) x)
(* -1 (* x (- (* -1 (/ (PI) x)) (* -1 (PI)))))
(*.f32 (neg.f32 x) (fma.f32 (/.f32 (PI.f32) x) #s(literal -1 binary32) (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 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 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 4)))))) (/ 1 x))
(fma.f32 (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 4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 6)))) (* 1/120 (* (pow x 3) (pow (PI) 4))))))) (/ 1 x))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 #s(literal 1 binary32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau)
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau)
(/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (+ (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* -1 (* x (PI)))))))))))) (/ (sin (+ (PI) (* -1 (* x (PI))))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (* (PI) (sin (* x (PI)))))
(*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 x x)) (*.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)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.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 tau tau) (*.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)))))) (* (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 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 tau tau) (*.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 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau)
(/ (sin (- (PI) (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (- (PI) (* x (PI)))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))))))) (/ (sin (- (PI) (* x (PI)))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (* x (* (PI) (sin (- (PI) (* x (PI)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI)))))))) (* x (* (PI) (sin (- (PI) (* x (PI))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau)
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI))))))))))))
(*.f32 (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 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau)
(* tau (+ (* x (* (PI) (sin (- (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (- (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* x (PI)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 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 7 binary32))))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau)
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))

rewrite249.0ms (2.9%)

Memory
4.2MiB live, 102.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048261
080254
1257234
21497234
08667234
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 227
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
(PI.f32)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(-.f32 (PI.f32) (*.f32 (PI.f32) x))
Outputs
(*.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 tau)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
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(fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (sqrt.f32 (neg.f32 (PI.f32))) (sqrt.f32 (neg.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (cbrt.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (neg.f32 (PI.f32))) (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) #s(literal 1/3 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.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)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (*.f32 x (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 x (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (*.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x) (PI.f32))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x) (PI.f32))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (neg.f32 x)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (neg.f32 x))))
(fma.f32 (+.f32 #s(literal 1 binary32) (neg.f32 x)) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 x)) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (PI.f32)) x (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 x)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 x)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 x)) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (neg.f32 (cbrt.f32 (PI.f32)))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 x)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 x)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 x)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 #s(literal 1 binary32) (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (neg.f32 x) (PI.f32) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (neg.f32 x) (PI.f32) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
(fma.f32 x (neg.f32 (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 x (neg.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 x (neg.f32 (PI.f32)) (PI.f32))
(fma.f32 (PI.f32) #s(literal 1 binary32) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (PI.f32) (neg.f32 x) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (PI.f32) (neg.f32 x) (*.f32 (PI.f32) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (neg.f32 x) (PI.f32))
(+.f32 (fma.f32 (neg.f32 (PI.f32)) x (cosh.f32 (log.f32 (PI.f32)))) (sinh.f32 (log.f32 (PI.f32))))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (neg.f32 x))) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (neg.f32 x))))
(+.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 x)) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 x)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (*.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (neg.f32 x) (PI.f32)))
(+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32))))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32))))))
(+.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32))))))
(+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 x (PI.f32) (PI.f32))))
(+.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 x (PI.f32) (PI.f32))))
(+.f32 (cosh.f32 (log.f32 (PI.f32))) (+.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(+.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (PI.f32) #s(literal 1 binary32)))
(+.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32))
(+.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(neg.f32 (/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32))))))
(neg.f32 (/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (neg.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 x x) (PI.f32) (fma.f32 x (PI.f32) (PI.f32)))))))
(neg.f32 (/.f32 (fma.f32 (neg.f32 (PI.f32)) (PI.f32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 x (PI.f32) (PI.f32))))
(neg.f32 (+.f32 (neg.f32 (PI.f32)) (*.f32 x (PI.f32))))

eval358.0ms (4.2%)

Memory
31.6MiB live, 357.3MiB allocated; 29ms collecting garbage
Compiler

Compiled 80 548 to 7 707 computations (90.4% saved)

prune782.0ms (9.1%)

Memory
-107.1MiB live, 255.0MiB allocated; 1.1s collecting garbage
Pruning

66 alts after pruning (62 fresh and 4 done)

PrunedKeptTotal
New2 296292 325
Fresh113344
Picked415
Done134
Total2 312662 378
Accuracy
100.0%
Counts
2 378 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
64.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) x))
77.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x))
80.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
61.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
61.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
75.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) (neg.f32 x) (PI.f32))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))) (*.f32 (PI.f32) x))
77.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
64.2%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
77.1%
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
81.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
✓82.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
73.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
73.1%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
73.1%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
73.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
67.3%
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
82.3%
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
66.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
66.3%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
66.2%
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
66.2%
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
81.0%
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
77.9%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
86.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
87.0%
(*.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))))
79.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.6%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
78.4%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
71.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
77.1%
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
86.8%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32))))
✓97.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
82.4%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
82.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
80.6%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))))
78.0%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
80.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
97.0%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (PI.f32))) tau))))
97.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
97.1%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
80.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
82.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))))
67.3%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
73.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
78.0%
(*.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
67.4%
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
✓6.3%
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
82.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))
72.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
72.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
67.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
81.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
3.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
✓66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
82.3%
#s(approx (* (/ (cos (+ (* (* tau (PI)) x) (/ (PI) -2))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
Compiler

Compiled 5 767 to 1 816 computations (68.5% saved)

regimes156.0ms (1.8%)

Memory
6.9MiB live, 121.6MiB allocated; 46ms collecting garbage
Counts
116 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
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(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.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 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x)) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) (neg.f32 x) (PI.f32))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (+.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.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 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) tau)))
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:

58.0ms
(*.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))))
41.0ms
tau
26.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.9%1(*.f32 x (PI.f32))
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1x
97.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes107.0ms (1.3%)

Memory
-26.1MiB live, 114.9MiB allocated; 8ms collecting garbage
Counts
70 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
#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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (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 (*.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))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
Calls

4 calls:

53.0ms
tau
18.0ms
(*.f32 x (PI.f32))
17.0ms
x
16.0ms
(*.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%1(*.f32 x (PI.f32))
97.8%1x
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%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes67.0ms (0.8%)

Memory
-2.9MiB live, 94.9MiB allocated; 7ms collecting garbage
Counts
64 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
#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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
Calls

4 calls:

19.0ms
tau
15.0ms
(*.f32 x (PI.f32))
15.0ms
x
15.0ms
(*.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
97.7%1(*.f32 x (PI.f32))
97.7%1x
97.7%1tau
97.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes63.0ms (0.7%)

Memory
-2.5MiB live, 91.9MiB allocated; 2ms collecting garbage
Counts
63 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
#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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
Calls

4 calls:

15.0ms
(*.f32 x (PI.f32))
15.0ms
x
15.0ms
tau
14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.6%1(*.f32 x (PI.f32))
97.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%1x
97.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes61.0ms (0.7%)

Memory
-1.8MiB live, 94.9MiB allocated; 4ms collecting garbage
Counts
60 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
#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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (PI.f32)) (neg.f32 x))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
Calls

4 calls:

15.0ms
(*.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))))
15.0ms
(*.f32 x (PI.f32))
14.0ms
tau
14.0ms
x
Results
AccuracySegmentsBranch
97.2%1(*.f32 x (PI.f32))
97.2%1x
97.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (0.6%)

Memory
33.6MiB live, 80.5MiB allocated; 1ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
Calls

4 calls:

12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms
tau
11.0ms
(*.f32 x (PI.f32))
11.0ms
x
Results
AccuracySegmentsBranch
97.1%1(*.f32 x (PI.f32))
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1x
97.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes49.0ms (0.6%)

Memory
-19.7MiB live, 77.2MiB allocated; 4ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (*.f32 #s(approx (sin (+ (* (neg x) (PI)) (PI))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 tau x)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* (PI) x)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) #s(literal 1 binary32)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (neg.f32 x) (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

13.0ms
tau
12.0ms
(*.f32 x (PI.f32))
11.0ms
x
11.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
87.0%1(*.f32 x (PI.f32))
87.0%1x
87.0%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))))
87.0%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes39.0ms (0.5%)

Memory
16.8MiB live, 63.8MiB allocated; 2ms collecting garbage
Counts
36 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32))))
Calls

4 calls:

11.0ms
x
9.0ms
tau
9.0ms
(*.f32 x (PI.f32))
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
86.8%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))))
86.8%1(*.f32 x (PI.f32))
86.8%1x
86.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes37.0ms (0.4%)

Memory
-31.3MiB live, 63.4MiB allocated; 2ms collecting garbage
Counts
34 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) 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))))
Outputs
(*.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))))
Calls

4 calls:

9.0ms
tau
8.0ms
x
8.0ms
(*.f32 x (PI.f32))
8.0ms
(*.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
82.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.6%1(*.f32 x (PI.f32))
82.6%1x
82.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (0.6%)

Memory
8.8MiB live, 58.9MiB allocated; 23ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
Calls

4 calls:

25.0ms
(*.f32 x (PI.f32))
8.0ms
tau
8.0ms
x
8.0ms
(*.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
82.4%1(*.f32 x (PI.f32))
82.4%1x
82.4%1tau
82.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes32.0ms (0.4%)

Memory
4.4MiB live, 53.0MiB allocated; 4ms collecting garbage
Counts
29 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 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 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (fma.f32 (neg.f32 tau) (*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) x) #s(literal 0 binary32)) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 #s(approx (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 1 binary32) #s(literal 0 binary32)) x) x)) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) x))) x))))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (- (PI) (* (PI) x))) (sin (* (* (PI) x) tau))) (neg (* (* (neg x) (PI)) (* (* (PI) x) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (sin (* (* (PI) x) tau)) (* (* x (* (* (PI) (PI)) x)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* tau (* (PI) x))) x) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 x (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

9.0ms
x
7.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
82.0%1(*.f32 x (PI.f32))
82.0%1x
82.0%1tau
82.0%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (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)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))
Calls

4 calls:

3.0ms
tau
3.0ms
x
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
82.0%1(*.f32 x (PI.f32))
82.0%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))))
82.0%1x
82.0%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.1%)

Memory
-29.1MiB live, 18.5MiB allocated; 1ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.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)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

3.0ms
x
2.0ms
tau
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
72.6%1(*.f32 x (PI.f32))
72.6%1x
72.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
72.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.6%1(*.f32 x (PI.f32))
72.6%1x
72.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
4 → 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 (+ (* (neg x) (PI)) (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
x
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
67.1%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))))
67.1%1(*.f32 x (PI.f32))
67.1%1x
67.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory
-34.9MiB live, 12.7MiB allocated; 1ms collecting garbage
Accuracy

Total -19.3b remaining (-180.3%)

Threshold costs -19.3b (-180.3%)

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

4 calls:

2.0ms
x
1.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
tau
1.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
66.5%1tau
66.5%1(*.f32 x (PI.f32))
66.5%1x
66.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify59.0ms (0.7%)

Memory
13.1MiB live, 62.0MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109530
1170528
2358528
3982528
43011528
57192528
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) (fma.f32 (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 tau tau) #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)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

derivations1.3s (15.7%)

Memory
83.4MiB live, 1 957.4MiB allocated; 175ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05112322
119012227
273352226
080362084
0196743
1717721
23469697
08248646
048261
080254
1257234
21497234
08667234
054342
097342
1322335
21931326
08135321
05302322
120582166
266812166
089652024
037229
065223
1222223
21132208
08784208
01055
01855
15455
234953
3360253
0934853
Stop Event
1×fuel
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
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 528 to 108 computations (79.5% saved)

preprocess128.0ms (1.5%)

Memory
3.9MiB live, 482.5MiB allocated; 79ms collecting garbage
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 350 to 356 computations (73.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...