Lanczos kernel

Time bar (total: 8.3s)

start0.0ms (0%)

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

analyze22.0ms (0.3%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.6s (18.9%)

Memory
51.3MiB live, 1 770.3MiB allocated; 327ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 973.0ms
ival-sinu: 185.0ms (19% of total)
ival-mult: 183.0ms (18.8% of total)
const: 157.0ms (16.1% of total)
ival-sin: 155.0ms (15.9% of total)
ival-div: 136.0ms (14% of total)
ival-<=: 83.0ms (8.5% of total)
ival-pi: 37.0ms (3.8% of total)
ival-and: 23.0ms (2.4% of total)
exact: 8.0ms (0.8% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain124.0ms (1.5%)

Memory
-13.6MiB live, 133.0MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-1(0.9845491051673889 2.6406705379486084)(sin.f32 (*.f32 x (PI.f32)))
10-0-(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-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))cancellation10
sin.f32(sin.f32 (*.f32 x (PI.f32)))cancellation10
Confusion
Predicted +Predicted -
+22
-0252
Precision
1.0
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+202
-00252
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 11.0ms (31.8% of total)
ival-sinu: 8.0ms (23.1% of total)
ival-sin: 7.0ms (20.2% of total)
ival-div: 6.0ms (17.3% of total)
ival-pi: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess128.0ms (1.6%)

Memory
35.5MiB live, 81.9MiB allocated; 3ms collecting garbage
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify149.0ms (1.8%)

Memory
-58.9MiB live, 107.7MiB allocated; 87ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
01862
13162
28862
329562
469262
5113762
6174862
7384462
8745862
9757462
10777162
0801162
Stop Event
iter limit
node limit
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))

localize37.0ms (0.4%)

Memory
-9.5MiB live, 40.1MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2730649789908912
(sin.f32 (*.f32 x (PI.f32)))
accuracy0.35384750976844204
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy0.4010925781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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% of total)
ival-sinu: 4.0ms (25% of total)
ival-div: 3.0ms (18.7% of total)
ival-sin: 3.0ms (18.7% of total)
ival-pi: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Counts
7 → 31
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))
(sin.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))
(* 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 (* 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)))
(sin (* 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
6.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* 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)) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI))))
4.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI))))

simplify187.0ms (2.3%)

Memory
12.2MiB live, 146.7MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0213816
1797792
23818766
08021709
Stop Event
iter limit
node limit
Counts
31 → 31
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))
(* 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 (* 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)))
(sin (* 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #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 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x) (*.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 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 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x) (*.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 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (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))
(sin (* x (PI)))
(sin.f32 (*.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 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) tau))) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.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 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 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))

rewrite139.0ms (1.7%)

Memory
25.7MiB live, 154.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01059
01859
15459
234957
3360257
0934857
Stop Event
iter limit
node limit
iter limit
Counts
7 → 383
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))
(sin.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))
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(*.f32 (PI.f32) (neg.f32 (*.f32 tau x)))
(*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))
(*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(fma.f32 (*.f32 tau x) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (*.f32 tau x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (*.f32 tau x)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(+.f32 (*.f32 (*.f32 tau x) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
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(/.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)))
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(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (neg.f32 x))))
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(*.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)))
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(*.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)))
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(*.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)))
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(*.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
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(*.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))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(-.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(-.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (fma.f32 (PI.f32) x (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (sinh.f32 (log.f32 (PI.f32)))) (*.f32 (cos.f32 (fma.f32 (PI.f32) x (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (sinh.f32 (log.f32 (PI.f32))))))
(fma.f32 (sin.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x))) (cos.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x))) (*.f32 (cos.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x))) (sin.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))))
(fma.f32 (sin.f32 (*.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32))))) (*.f32 (cos.f32 (*.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))))
(fma.f32 (sin.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x)) (cos.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) x)) (*.f32 (cos.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x)) (sin.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))))
(fma.f32 (sin.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (*.f32 x (sinh.f32 (log.f32 (PI.f32))))) (*.f32 (cos.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32) (*.f32 (cos.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(sin.f32 (neg.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))))
(sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))))
(sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32)))))
(sin.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))
(sin.f32 (+.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (/.f32 (PI.f32) #s(literal -2 binary32))))
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(sin.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))
(sin.f32 (+.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)))
(sin.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (PI.f32)))
(sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(sin.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (sinh.f32 (log.f32 (PI.f32))))) (*.f32 (cos.f32 (fma.f32 (PI.f32) x (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (sinh.f32 (log.f32 (PI.f32))))))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (PI.f32) x))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(+.f32 (*.f32 (sin.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x))) (cos.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))) (*.f32 (cos.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x))) (sin.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))))
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))) (*.f32 (cos.f32 (*.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (*.f32 (cos.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x)) (cos.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))) (*.f32 (cos.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x)) (sin.f32 (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))))
(+.f32 (*.f32 (sin.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32))))) (cos.f32 (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))) (*.f32 (cos.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32))))) (sin.f32 (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))))
(cos.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(cos.f32 (neg.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))))
(cos.f32 (+.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32)))
(cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))
(cos.f32 (+.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (PI.f32) #s(literal -2 binary32))))
(cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32))))
(cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (PI.f32)))
(cos.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))
(cos.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))))
(cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))

eval72.0ms (0.9%)

Memory
-5.5MiB live, 96.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 17 471 to 2 166 computations (87.6% saved)

prune46.0ms (0.6%)

Memory
-35.7MiB live, 55.6MiB allocated; 5ms collecting garbage
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New61729646
Fresh000
Picked011
Done000
Total61730647
Accuracy
99.8%
Counts
647 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (*.f32 x (*.f32 (PI.f32) x)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
98.1%
(/.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))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
78.5%
(*.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))))
75.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
77.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 x (PI.f32))))
80.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
75.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
76.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
94.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.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 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
81.5%
(*.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))))
83.1%
(*.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))))
65.2%
(*.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))))
81.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.4%
#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)))
81.4%
#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))))
96.9%
#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))))
64.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 581 to 860 computations (45.6% saved)

simplify88.0ms (1.1%)

Memory
0.2MiB live, 95.0MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
cost-diff3
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
cost-diff0
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.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))))
cost-diff2
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (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 tau (*.f32 (PI.f32) x)))
cost-diff0
(*.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)))
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
041322
073307
1173307
2516307
31544307
43275307
56666307
08067307
Stop Event
iter limit
node limit
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 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) x))
tau
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.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))))
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.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 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(/.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x)))
(*.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 x (PI.f32)) tau)
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 x (PI.f32)) tau)
tau
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.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))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x)))
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(*.f32 (-.f32 #s(literal -1 binary32) (*.f32 tau x)) (PI.f32))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(sin.f32 (*.f32 x (PI.f32)))
(fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))
(/.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)

localize141.0ms (1.7%)

Memory
7.2MiB live, 191.3MiB allocated; 36ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.35384750976844204
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy0.4010925781475362
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))
accuracy5.366016890560749
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy0.375
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
accuracy0.4010925781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy5.349238096893864
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
accuracy0.31154252930532605
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy0.35546875
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.3671875
(*.f32 (PI.f32) x)
accuracy0.40529252930532605
(*.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)))
accuracy11.405304241054724
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy0.2730649789908912
(sin.f32 (*.f32 (PI.f32) x))
accuracy0.35384750976844204
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
accuracy0.366230029305326
(/.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))
accuracy0.3671875
(*.f32 (PI.f32) x)
Samples
74.0ms256×0valid
Compiler

Compiled 331 to 35 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 15.0ms (25.6% of total)
ival-sin: 14.0ms (23.9% of total)
ival-div: 12.0ms (20.5% of total)
ival-cos: 7.0ms (11.9% of total)
ival-sinu: 4.0ms (6.8% of total)
ival-add: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% 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)

series57.0ms (0.7%)

Memory
14.1MiB live, 106.4MiB allocated; 7ms collecting garbage
Counts
21 → 102
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 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(*.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))))
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.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 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 x (PI.f32))
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.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))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* tau (* x (* (PI) (cos (neg (PI))))))))
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (neg (PI))))))))))
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (neg (PI))))))))))))
(/ (sin (neg (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(* -1 (PI))
(- (* -1 (* tau (* x (PI)))) (PI))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* x (* (PI) (sin (* -1/2 (PI)))))))
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* x (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* (PI) (sin (* -1/2 (PI)))))))
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow (PI) 2) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 3) (sin (* -1/2 (PI)))))))) (* (PI) (sin (* -1/2 (PI)))))))
(/ (cos (* -1/2 (PI))) (* x (PI)))
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))) (* 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))) (PI))) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(+ 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)))))))
(PI)
(+ (PI) (* tau (* x (PI))))
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (* (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 (* x (PI))) (* tau (* x (PI))))
(sin (neg (+ (PI) (* tau (* x (PI))))))
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (neg (+ (PI) (* tau (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* tau (* x (PI))))
(* x (- (* -1 (/ (PI) x)) (* tau (PI))))
(cos (+ (* -1/2 (PI)) (* x (PI))))
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (+ (* tau (PI)) (/ (PI) x)))
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI))))))
(* -1 (* x (+ (* -1 (* tau (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))))
(+ (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)))))))))))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI))))))))))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI))))))))))))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* 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)))))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(* tau (- (* -1 (/ (PI) tau)) (* x (PI))))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI))))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
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)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI))))
11.0ms
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)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI))))
8.0ms
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)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI))))
7.0ms
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)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* 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)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI))))

simplify151.0ms (1.8%)

Memory
37.1MiB live, 178.7MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05882604
122152404
269992397
081622230
Stop Event
iter limit
node limit
Counts
102 → 101
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))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* tau (* x (* (PI) (cos (neg (PI))))))))
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (neg (PI))))))))))
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (neg (PI))))))))))))
(/ (sin (neg (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(* -1 (PI))
(- (* -1 (* tau (* x (PI)))) (PI))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* x (* (PI) (sin (* -1/2 (PI)))))))
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* x (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* (PI) (sin (* -1/2 (PI)))))))
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow (PI) 2) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 3) (sin (* -1/2 (PI)))))))) (* (PI) (sin (* -1/2 (PI)))))))
(/ (cos (* -1/2 (PI))) (* x (PI)))
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))) (* 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))) (PI))) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(+ 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)))))))
(PI)
(+ (PI) (* tau (* x (PI))))
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x)
(/ (* (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 (* x (PI))) (* tau (* x (PI))))
(sin (neg (+ (PI) (* tau (* x (PI))))))
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (neg (+ (PI) (* tau (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* tau (* x (PI))))
(* x (- (* -1 (/ (PI) x)) (* tau (PI))))
(cos (+ (* -1/2 (PI)) (* x (PI))))
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (+ (* tau (PI)) (/ (PI) x)))
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI))))))
(* -1 (* x (+ (* -1 (* tau (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))))
(+ (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)))))))))))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI))))))))))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI))))))))))))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* 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)))))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(* tau (- (* -1 (/ (PI) tau)) (* x (PI))))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI))))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (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))))))
(*.f32 (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))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (PI.f32)) x)
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(* x (- (* -1 (/ (PI) x)) (* tau (PI))))
(*.f32 (neg.f32 x) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)))
(cos (+ (* -1/2 (PI)) (* x (PI))))
(cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) 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 (* 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 (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* x (+ (* tau (PI)) (/ (PI) x)))
(*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x)
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))
(/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x))
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI))))))
(*.f32 (neg.f32 x) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))
(*.f32 (neg.f32 x) (neg.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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)))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32))
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32)))) tau (*.f32 (PI.f32) x)) tau #s(literal 0 binary32))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 #s(literal 0 binary32) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (PI.f32)) (/.f32 (neg.f32 (*.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) x)) (PI.f32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)) (*.f32 (fma.f32 (*.f32 (*.f32 tau #s(literal 0 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau)) tau)
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) x) tau) #s(literal -1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau)
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) x) #s(literal -1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau)
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))))) (*.f32 tau tau) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) 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)) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) 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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 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 #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))
(* 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)
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) tau)
(* tau (- (* -1 (/ (PI) tau)) (* x (PI))))
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI))))))
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))
(*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)

rewrite193.0ms (2.3%)

Memory
-7.7MiB live, 221.1MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041250
073248
1261238
21533234
08308234
Stop Event
iter limit
node limit
iter limit
Counts
21 → 935
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 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(*.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))))
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.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 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 x (PI.f32))
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
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(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))))
(+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))) (/.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(+.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(+.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.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)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (+.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x))) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32)) x)
(/.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (PI.f32))
(/.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))
(-.f32 (/.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) x) (PI.f32)) (/.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) x) (PI.f32)))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 0 binary32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 x (PI.f32))))

eval93.0ms (1.1%)

Memory
8.1MiB live, 152.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 23 762 to 2 905 computations (87.8% saved)

prune52.0ms (0.6%)

Memory
-5.6MiB live, 96.5MiB allocated; 22ms collecting garbage
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New74725772
Fresh141024
Picked325
Done101
Total76537802
Accuracy
99.9%
Counts
802 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
77.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 (neg.f32 x) (PI.f32))))
77.8%
(/.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))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
81.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
79.3%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
79.2%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
80.9%
(/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
76.5%
(/.f32 (*.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
79.7%
(/.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
81.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
76.9%
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.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))))
76.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
79.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
94.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
96.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
80.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
81.5%
(*.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))))
71.1%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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))))
80.3%
(*.f32 (/.f32 (sin.f32 (neg.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
93.7%
(*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.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)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
81.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.2%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
71.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
65.2%
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.4%
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
97.1%
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.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)))))
80.4%
#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)))
96.9%
#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))))
64.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
80.0%
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
6.3%
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
Compiler

Compiled 2 246 to 1 295 computations (42.3% saved)

simplify121.0ms (1.5%)

Memory
-21.2MiB live, 70.4MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
cost-diff0
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff2
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
cost-diff0
(sin.f32 (*.f32 (PI.f32) x))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
cost-diff0
(*.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)))
cost-diff0
#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))))
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)) #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))))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
cost-diff2
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)
cost-diff4
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057422
0100402
1218399
2670397
32270397
46558397
08084397
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 tau (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
#s(literal 0 binary32)
(*.f32 (PI.f32) x)
(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 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
#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)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (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))))
(*.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)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
tau
(*.f32 (PI.f32) (PI.f32))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 x x)
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
(neg.f32 x)
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)
#s(literal 0 binary32)
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
#s(literal 0 binary32)
#s(literal 0 binary32)
(*.f32 (PI.f32) x)
(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 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
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)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (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 (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.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)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
tau
(*.f32 (PI.f32) (PI.f32))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x x)
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
(-.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
(neg.f32 x)
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (PI.f32))
(*.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))

localize198.0ms (2.4%)

Memory
23.6MiB live, 115.4MiB allocated; 10ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy0.4010925781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.4356627912568931
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
accuracy5.230105735630855
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
accuracy0.3671875
(*.f32 (PI.f32) x)
accuracy0.3828125
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy0.4254875488422101
(*.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)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy0.359375
(*.f32 #s(literal -1/6 binary32) x)
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.149036665181754
#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)))
accuracy0.0
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
accuracy0.0
(PI.f32)
accuracy0.3671875
(*.f32 (PI.f32) x)
accuracy29.98286225527237
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
accuracy0.35546875
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
accuracy0.366230029305326
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
accuracy0.3671875
(*.f32 (PI.f32) x)
accuracy0.3671875
(*.f32 x (PI.f32))
Samples
149.0ms256×0valid
Compiler

Compiled 377 to 49 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-sin: 65.0ms (53.4% of total)
ival-mult: 28.0ms (23% of total)
ival-div: 13.0ms (10.7% of total)
ival-sinu: 5.0ms (4.1% of total)
const: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
ival-neg: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% 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)

series64.0ms (0.8%)

Memory
-6.9MiB live, 38.0MiB allocated; 5ms collecting garbage
Counts
27 → 89
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(*.f32 (PI.f32) x)
(*.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) 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))))
(*.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)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
(*.f32 x (PI.f32))
(PI.f32)
#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 (PI.f32) (PI.f32))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 tau (*.f32 (PI.f32) (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)))))))))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* 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))))))))
0
(/ (sin (neg (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(+ 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)))))))))
(/ x (* tau (PI)))
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))))
(sin (PI))
(+ (sin (PI)) (* -1 (* tau (* x (* (PI) (cos (PI)))))))
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))))))
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))
(/ (sin (PI)) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(PI)
(+ (PI) (* -1 (* tau (* 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)))))))
(* -1/6 x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (neg (+ (PI) (* 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))) (* tau (pow (PI) 2)))
(sin (+ (PI) (* -1 (* tau (* x (PI))))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* -1 (* tau (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* tau (* x (PI))))
(* x (+ (* -1 (* tau (PI))) (/ (PI) x)))
(/ (sin (* x (PI))) (* x (PI)))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* tau (PI)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (sin (* x (PI))) (* -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)))))))))))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) 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))))))))
(* 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)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))))))
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))))))
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (cos (PI)))) (/ (sin (PI)) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau)
(* tau (pow (PI) 2))
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau)))
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* x (PI)))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI))))
7.0ms
tau
@-inf
((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI))))
6.0ms
x
@inf
((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI))))
6.0ms
tau
@inf
((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI))))
4.0ms
tau
@0
((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI))))

simplify155.0ms (1.9%)

Memory
2.8MiB live, 92.0MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05522014
121821682
279201670
080441557
Stop Event
iter limit
node limit
Counts
89 → 89
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)))))))))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* 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))))))))
0
(/ (sin (neg (PI))) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(+ 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)))))))))
(/ x (* tau (PI)))
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))))
(sin (PI))
(+ (sin (PI)) (* -1 (* tau (* x (* (PI) (cos (PI)))))))
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))))))
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))
(/ (sin (PI)) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(PI)
(+ (PI) (* -1 (* tau (* 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)))))))
(* -1/6 x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (* (sin (neg (+ (PI) (* 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))) (* tau (pow (PI) 2)))
(sin (+ (PI) (* -1 (* tau (* x (PI))))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* -1 (* tau (* x (PI)))))) (* tau (* x (PI))))
(* -1 (* tau (* x (PI))))
(* x (+ (* -1 (* tau (PI))) (/ (PI) x)))
(/ (sin (* x (PI))) (* x (PI)))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* tau (PI)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (sin (* x (PI))) (* -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)))))))))))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) 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))))))))
(* 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)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))))))
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))))))
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (cos (PI)))) (/ (sin (PI)) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau)
(* tau (pow (PI) 2))
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau)))
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* 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))
(* 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))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) tau)
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(fma.f32 (/.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))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) tau) (*.f32 x x) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))
(* 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))
0
#s(literal 0 binary32)
(/ (sin (neg (PI))) (* tau (* x (PI))))
#s(literal 0 binary32)
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x)
(*.f32 (fma.f32 (fma.f32 (*.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))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #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 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.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 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))))
(*.f32 (fma.f32 (*.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))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.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))) (pow.f32 x #s(literal 3 binary32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (fma.f32 (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))) (pow.f32 x #s(literal 3 binary32))))
(/ x (* tau (PI)))
(/.f32 x (*.f32 (PI.f32) tau))
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (pow.f32 x #s(literal 3 binary32)) (/.f32 x (*.f32 (PI.f32) tau)))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) tau) (*.f32 x x) (*.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (/.f32 x (*.f32 (PI.f32) tau)))
(sin (PI))
#s(literal 0 binary32)
(+ (sin (PI)) (* -1 (* tau (* x (* (PI) (cos (PI)))))))
(*.f32 (*.f32 (PI.f32) x) tau)
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))))))
(*.f32 (*.f32 (PI.f32) x) tau)
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) x) (*.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/6 binary32)) #s(literal 0 binary32)) x (*.f32 (PI.f32) tau)) x)
(/ (sin (PI)) (* tau (* x (PI))))
#s(literal 0 binary32)
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(*.f32 (fma.f32 (fma.f32 (*.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))
(/ (+ (* x (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 x x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 0 binary32)) (*.f32 x x) x) x)
(PI)
(PI.f32)
(+ (PI) (* -1 (* tau (* x (PI)))))
(-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #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))
(* -1/6 x)
(*.f32 #s(literal -1/6 binary32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (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))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (*.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))) (* tau (pow (PI) 2)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))
(sin (+ (PI) (* -1 (* tau (* x (PI))))))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* 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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (+ (PI) (* -1 (* tau (* x (PI)))))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(* -1 (* tau (* x (PI))))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)
(* x (+ (* -1 (* tau (PI))) (/ (PI) x)))
(*.f32 (fma.f32 (neg.f32 (PI.f32)) tau (/.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* tau (PI)))))
(*.f32 (neg.f32 x) (fma.f32 (PI.f32) tau (/.f32 (neg.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 (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 (*.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)))
(+ (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 1/120 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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.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)))
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
#s(literal 0 binary32)
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)) 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) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.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))
(* 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))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 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))
(* 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 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))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))))))
(*.f32 (*.f32 (PI.f32) x) tau)
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (neg.f32 tau)) #s(literal 1/6 binary32) #s(literal 0 binary32)) tau (*.f32 (PI.f32) x)) tau)
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
#s(literal 0 binary32)
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)) tau)
(/ (+ (* -1 (* tau (cos (PI)))) (/ (sin (PI)) (* x (PI)))) tau)
(/.f32 tau tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau)
(/.f32 tau tau)
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau)
(*.f32 (fma.f32 (fma.f32 (*.f32 tau (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))
(* tau (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau)))
(*.f32 (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) tau)) tau)
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* x (PI)))))
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (neg.f32 (PI.f32)) tau)))

rewrite263.0ms (3.2%)

Memory
22.7MiB live, 158.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057326
0100308
1331303
21846289
08295287
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 075
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(*.f32 (PI.f32) x)
(*.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) 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))))
(*.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)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))
(*.f32 x (PI.f32))
(PI.f32)
#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 (PI.f32) (PI.f32))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x)) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 tau x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) tau)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (neg.f32 x) tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) x)) (neg.f32 (*.f32 tau (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))) (*.f32 (neg.f32 x) tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x)) (neg.f32 (*.f32 tau (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))))) (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))))) (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32))))
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(/.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 (neg.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.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 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))

eval205.0ms (2.5%)

Memory
28.8MiB live, 254.7MiB allocated; 24ms collecting garbage
Compiler

Compiled 63 199 to 6 383 computations (89.9% saved)

prune110.0ms (1.3%)

Memory
-8.1MiB live, 184.0MiB allocated; 39ms collecting garbage
Pruning

63 alts after pruning (59 fresh and 4 done)

PrunedKeptTotal
New1 727441 771
Fresh151530
Picked325
Done022
Total1 745631 808
Accuracy
100.0%
Counts
1 808 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.9%
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x))
85.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
78.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
75.8%
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
78.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
81.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
81.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
71.0%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
77.8%
(/.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))
79.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
79.3%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
79.2%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
80.9%
(/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
71.4%
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
79.7%
(/.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
71.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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))))
85.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
86.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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))))
86.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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))))
85.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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))))
68.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
71.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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))))
80.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
76.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))))
81.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
79.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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))))
85.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
86.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
97.4%
(*.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)))
81.5%
(*.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))))
71.1%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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))))
76.8%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.6%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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))))
65.1%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
65.2%
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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))))
86.2%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
71.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
80.4%
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
65.2%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
80.4%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
6.3%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
80.4%
#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)))
77.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
96.9%
#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))))
71.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
85.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
64.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 3 740 to 2 266 computations (39.4% saved)

simplify100.0ms (1.2%)

Memory
4.7MiB live, 100.0MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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 tau (*.f32 (PI.f32) x)) x))
cost-diff0
(*.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)))
cost-diff0
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
cost-diff4
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 (*.f32 tau (PI.f32)) x)
cost-diff0
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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))))
cost-diff0
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052407
091390
1188390
2538388
32084388
45776388
57833388
08025388
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#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)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
(*.f32 tau x)
tau
x
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#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)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(*.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)
(*.f32 tau (*.f32 (PI.f32) x))
tau
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.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)
x
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (PI.f32)) x)
tau
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
#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)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x))
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)
(*.f32 tau x)
tau
x
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
#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)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)
(*.f32 (*.f32 (*.f32 tau (PI.f32)) x) x)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (PI.f32)) x)
tau
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (PI.f32))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))

localize139.0ms (1.7%)

Memory
-24.4MiB live, 209.6MiB allocated; 17ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.34765625
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
accuracy0.3671875
(*.f32 (PI.f32) x)
accuracy0.40138627930532605
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
accuracy0.4498825195368841
(*.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)))
accuracy0.3951950195368841
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.40462875976844204
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.149036665181754
#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)))
accuracy0.359375
(*.f32 #s(literal -1/6 binary32) x)
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.149036665181754
#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)))
accuracy29.98286225527237
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
accuracy0.2730649789908912
(sin.f32 (*.f32 x (PI.f32)))
accuracy0.3671875
(*.f32 x (PI.f32))
accuracy0.4010925781475362
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy0.44664003907376815
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
Samples
98.0ms256×0valid
Compiler

Compiled 365 to 46 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 34.0ms (43.2% of total)
ival-sin: 20.0ms (25.4% of total)
ival-div: 9.0ms (11.4% of total)
ival-sinu: 4.0ms (5.1% of total)
const: 4.0ms (5.1% of total)
ival-add: 2.0ms (2.5% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% 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)

series46.0ms (0.6%)

Memory
26.3MiB live, 72.3MiB allocated; 4ms collecting garbage
Counts
23 → 63
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#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 (PI.f32) (PI.f32))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(/ (sin (PI)) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(+ 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))))))))
(* 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 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(* -1/6 x)
(* (* tau x) (sqrt (PI)))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (PI))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
tau
@inf
((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI)))
5.0ms
x
@-inf
((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI)))
5.0ms
tau
@-inf
((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI)))
5.0ms
tau
@0
((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI)))
5.0ms
x
@inf
((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI)))

simplify150.0ms (1.8%)

Memory
-8.0MiB live, 175.4MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04261694
116471532
278361528
080291424
Stop Event
iter limit
node limit
Counts
63 → 63
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(/ (sin (PI)) (* tau (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(+ 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))))))))
(* 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 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(* -1/6 x)
(* (* tau x) (sqrt (PI)))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (PI))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
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 (*.f32 #s(literal -1/6 binary32) 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 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) 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 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(*.f32 (*.f32 (PI.f32) x) tau)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (*.f32 (PI.f32) tau)) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal -1/720 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(/ (sin (PI)) (* tau (* x (PI))))
#s(literal 0 binary32)
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 (+.f32 #s(literal 0 binary32) x) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(fma.f32 (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))) (*.f32 (*.f32 (PI.f32) x) tau))
(* 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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) x) tau))
(/ 1 (* tau x))
(/.f32 (/.f32 #s(literal 1 binary32) tau) x)
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) tau) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) tau) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x)
(* -1/6 x)
(*.f32 #s(literal -1/6 binary32) x)
(* (* tau x) (sqrt (PI)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)
(* tau x)
(*.f32 tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x))) (*.f32 tau x))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (*.f32 x x))) (*.f32 tau x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* 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))) (* tau (* (pow x 2) (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 tau x) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #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 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 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)
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
#s(literal 0 binary32)
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) tau #s(literal 0 binary32)) 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 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) tau))) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.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 -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau) (*.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 (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 tau x))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 tau x))

rewrite275.0ms (3.3%)

Memory
59.3MiB live, 394.8MiB allocated; 160ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052282
091265
1264263
21403254
08336251
Stop Event
iter limit
node limit
iter limit
Counts
23 → 738
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#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 (PI.f32) (PI.f32))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 tau))
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(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 tau x)) (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))))
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(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))))
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(neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))))
(neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (*.f32 x x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x)
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 x)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
(sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(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 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32)))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(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 (*.f32 (cosh.f32 (log.f32 (PI.f32))) x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (*.f32 x (cosh.f32 (log.f32 (PI.f32)))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))
(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 (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 (*.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 (*.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 (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 (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 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (PI.f32) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (PI.f32)))
(fma.f32 (PI.f32) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (PI.f32) (sinh.f32 (log.f32 (PI.f32)))))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 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 (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 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (PI.f32)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (PI.f32)))
(+.f32 (*.f32 (PI.f32) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (PI.f32) (sinh.f32 (log.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 (log.f32 (neg.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 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) tau)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x))
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32)))
(*.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 x (*.f32 tau (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))
(-.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32)) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32)))
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32)) (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (PI.f32))) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32)) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (PI.f32))))

eval511.0ms (6.2%)

Memory
-122.8MiB live, 182.9MiB allocated; 931ms collecting garbage
Compiler

Compiled 19 481 to 1 967 computations (89.9% saved)

prune90.0ms (1.1%)

Memory
12.1MiB live, 205.8MiB allocated; 27ms collecting garbage
Pruning

70 alts after pruning (62 fresh and 8 done)

PrunedKeptTotal
New54520565
Fresh124254
Picked145
Done044
Total55870628
Accuracy
100.0%
Counts
628 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
78.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
75.8%
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
78.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
81.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
81.5%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
77.8%
(/.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))
79.3%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
79.3%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
79.2%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
80.9%
(/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
86.2%
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
86.2%
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
71.4%
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
65.2%
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
79.7%
(/.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
71.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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))))
71.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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))))
85.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
86.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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))))
72.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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))))
68.5%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
71.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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))))
80.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
76.0%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))))
81.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.7%
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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))))
68.1%
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.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))))
80.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
69.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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))))
85.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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))))
79.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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))))
85.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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))))
85.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
97.4%
(*.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)))
67.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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))))
81.5%
(*.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))))
71.1%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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))))
76.8%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.7%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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))))
69.1%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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))))
65.1%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
97.2%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
81.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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))))
81.4%
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #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))))
71.3%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
71.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
80.4%
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
80.0%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
65.2%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
54.6%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
80.4%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
6.3%
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
80.4%
#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)))
77.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
96.9%
#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))))
71.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
85.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
64.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 5 886 to 1 891 computations (67.9% saved)

regimes159.0ms (1.9%)

Memory
-11.7MiB live, 468.6MiB allocated; 68ms collecting garbage
Counts
119 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
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#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 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.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 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (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 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (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 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (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))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(*.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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (*.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) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.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 (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 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.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)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (*.f32 x (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (neg.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.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 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.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)) (*.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

52.0ms
tau
35.0ms
(*.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))))
33.0ms
x
32.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.1%1(*.f32 x (PI.f32))
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1x
98.1%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes92.0ms (1.1%)

Memory
13.2MiB live, 248.1MiB allocated; 18ms collecting garbage
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (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 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.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 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (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 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.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)))
Calls

4 calls:

23.0ms
tau
22.0ms
x
22.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1x
97.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes92.0ms (1.1%)

Memory
-7.5MiB live, 284.5MiB allocated; 25ms collecting garbage
Counts
75 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (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 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
Calls

4 calls:

25.0ms
(*.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))))
23.0ms
(*.f32 x (PI.f32))
20.0ms
x
20.0ms
tau
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)

regimes87.0ms (1.1%)

Memory
20.2MiB live, 304.0MiB allocated; 17ms collecting garbage
Counts
74 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (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 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
Outputs
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.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)))))
Calls

4 calls:

22.0ms
x
22.0ms
tau
20.0ms
(*.f32 x (PI.f32))
19.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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)

regimes90.0ms (1.1%)

Memory
-15.4MiB live, 122.0MiB allocated; 31ms collecting garbage
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
Outputs
#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))))
Calls

4 calls:

25.0ms
x
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
tau
17.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.9%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))))
96.9%1(*.f32 x (PI.f32))
96.9%1x
96.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes82.0ms (1%)

Memory
32.0MiB live, 120.9MiB allocated; 22ms collecting garbage
Counts
72 → 2
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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
Calls

4 calls:

24.0ms
x
22.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms
tau
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.1%2(*.f32 x (PI.f32))
97.0%2(*.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%2x
86.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (0.5%)

Memory
-27.9MiB live, 76.9MiB allocated; 15ms collecting garbage
Counts
67 → 2
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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
Calls

2 calls:

22.0ms
x
18.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.0%2(*.f32 x (PI.f32))
97.0%2x
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes54.0ms (0.7%)

Memory
-8.8MiB live, 133.9MiB allocated; 10ms collecting garbage
Counts
64 → 2
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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
Calls

3 calls:

18.0ms
(*.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))))
17.0ms
x
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.6%2(*.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))))
96.8%2(*.f32 x (PI.f32))
96.8%2x
Compiler

Compiled 25 to 16 computations (36% saved)

regimes37.0ms (0.4%)

Memory
30.6MiB live, 120.0MiB allocated; 6ms collecting garbage
Counts
63 → 2
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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
Calls

2 calls:

18.0ms
x
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.7%2(*.f32 x (PI.f32))
96.7%2x
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes69.0ms (0.8%)

Memory
-37.4MiB live, 160.8MiB allocated; 10ms collecting garbage
Counts
62 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
Calls

4 calls:

18.0ms
x
17.0ms
(*.f32 x (PI.f32))
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))))
14.0ms
tau
Results
AccuracySegmentsBranch
86.4%1tau
86.4%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))))
86.4%1(*.f32 x (PI.f32))
86.4%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes59.0ms (0.7%)

Memory
20.3MiB live, 114.9MiB allocated; 8ms collecting garbage
Counts
56 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #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 (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 (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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #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 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.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 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #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 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.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 (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.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 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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:

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))))
15.0ms
x
13.0ms
(*.f32 x (PI.f32))
13.0ms
tau
Results
AccuracySegmentsBranch
86.4%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))))
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes27.0ms (0.3%)

Memory
2.2MiB live, 48.2MiB allocated; 2ms collecting garbage
Counts
24 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #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 (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) 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))))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #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:

7.0ms
x
6.0ms
tau
6.0ms
(*.f32 x (PI.f32))
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
81.4%1(*.f32 x (PI.f32))
81.4%1x
81.4%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))))
81.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.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)))
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
Outputs
#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)))
Calls

4 calls:

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))
3.0ms
tau
Results
AccuracySegmentsBranch
80.4%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))))
80.4%1tau
80.4%1(*.f32 x (PI.f32))
80.4%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
-29.6MiB live, 17.1MiB allocated; 2ms collecting garbage
Accuracy

Total -18.6b remaining (-163.3%)

Threshold costs -18.6b (-163.3%)

Counts
3 → 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) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

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))))
1.0ms
(*.f32 x (PI.f32))
1.0ms
x
1.0ms
tau
Results
AccuracySegmentsBranch
64.4%1(*.f32 x (PI.f32))
64.4%1x
64.4%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))))
64.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.023479055613279343
0.024755198508501053
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.02638521045446396
0.028777895495295525
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.02638521045446396
0.028777895495295525
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.03118305839598179
0.03671278804540634
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify83.0ms (1%)

Memory
5.5MiB live, 49.9MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115554
1171554
2295554
3664554
41215554
52134554
63511554
76696554
86766554
96961554
107536554
Stop Event
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 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.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)))))
#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))))
(if (<=.f32 x #s(literal 6442451/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))))
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #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))))
#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)))) #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 (/.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 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.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)))))
#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 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))))
(if (<=.f32 x #s(literal 6442451/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (neg.f32 x) (PI.f32))) (*.f32 x (PI.f32)))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))))
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) x))))
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (neg.f32 x) (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #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))))
#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 (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 1 binary32))

derivations1.5s (17.9%)

Memory
-30.7MiB live, 1 087.6MiB allocated; 219ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01059
01859
15459
234957
3360257
0934857
057326
0100308
1331303
21846289
08295287
0213816
1797792
23818766
08021709
04261694
116471532
278361528
080291424
05882604
122152404
269992397
081622230
052282
091265
1264263
21403254
08336251
041250
073248
1261238
21533234
08308234
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 554 to 112 computations (79.8% saved)

preprocess93.0ms (1.1%)

Memory
26.6MiB live, 122.5MiB allocated; 13ms collecting garbage
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 570 to 444 computations (71.7% saved)

end0.0ms (0%)

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

Profiling

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