Lanczos kernel

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze29.0ms (0.6%)

Memory
-4.4MiB live, 39.1MiB allocated; 8ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample932.0ms (18.6%)

Memory
31.2MiB live, 1 164.4MiB allocated; 92ms collecting garbage
Samples
692.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 515.0ms
ival-mult: 150.0ms (29.2% of total)
ival-sin: 120.0ms (23.3% of total)
ival-sinu: 112.0ms (21.8% of total)
ival-div: 93.0ms (18.1% of total)
ival-pi: 31.0ms (6% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
const: 2.0ms (0.4% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

explain153.0ms (3.1%)

Memory
-21.1MiB live, 181.0MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-1(0.8459596037864685 3.562791585922241)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
10-1(0.9900103211402893 3.487816095352173)(sin.f32 (*.f32 x (PI.f32)))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.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
Confusion
Predicted +Predicted -
+12
-0253
Precision
1.0
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+102
-00253
Precision?
1.0
Recall?
0.3333333333333333
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms512×0valid
Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pi: 24.0ms (36.8% of total)
ival-div: 18.0ms (27.6% of total)
ival-mult: 9.0ms (13.8% of total)
ival-sinu: 8.0ms (12.3% of total)
ival-sin: 7.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess148.0ms (3%)

Memory
11.7MiB live, 154.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

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

Compiled 21 to 10 computations (52.4% saved)

series31.0ms (0.6%)

Memory
1.2MiB live, 45.7MiB allocated; 5ms collecting garbage
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
7.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite171.0ms (3.4%)

Memory
0.1MiB live, 185.8MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval11.0ms (0.2%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 591 to 466 computations (87% saved)

prune54.0ms (1.1%)

Memory
-27.0MiB live, 66.9MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11812130
Fresh000
Picked101
Done000
Total11912131
Accuracy
99.5%
Counts
131 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
77.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
80.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶77.6%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
▶97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
81.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
▶94.5%
(*.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 (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))))
92.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
▶97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
89.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
▶97.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Compiler

Compiled 812 to 448 computations (44.8% saved)

series54.0ms (1.1%)

Memory
14.4MiB live, 70.4MiB allocated; 4ms collecting garbage
Counts
49 → 155
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(/.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 (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)))
(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))
(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)))
(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 #s(literal -1/5040 binary32) (*.f32 x x))
#s(literal -1/5040 binary32)
(*.f32 x x)
(pow.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1/120 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
Outputs
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (* (* tau x) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 1))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
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#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
tau
@inf
((/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* -1/5040 (* x x)) -1/5040 (* x x) (pow (PI) 6) 6 (* (pow (PI) 4) 1/120) (pow (PI) 4) 4 1/120 (* (* (PI) (PI)) -1/6) (* (PI) (PI)) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
8.0ms
tau
@0
((/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* -1/5040 (* x x)) -1/5040 (* x x) (pow (PI) 6) 6 (* (pow (PI) 4) 1/120) (pow (PI) 4) 4 1/120 (* (* (PI) (PI)) -1/6) (* (PI) (PI)) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
8.0ms
x
@inf
((/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* -1/5040 (* x x)) -1/5040 (* x x) (pow (PI) 6) 6 (* (pow (PI) 4) 1/120) (pow (PI) 4) 4 1/120 (* (* (PI) (PI)) -1/6) (* (PI) (PI)) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
8.0ms
x
@-inf
((/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* -1/5040 (* x x)) -1/5040 (* x x) (pow (PI) 6) 6 (* (pow (PI) 4) 1/120) (pow (PI) 4) 4 1/120 (* (* (PI) (PI)) -1/6) (* (PI) (PI)) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
7.0ms
x
@0
((/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* -1/5040 (* x x)) -1/5040 (* x x) (pow (PI) 6) 6 (* (pow (PI) 4) 1/120) (pow (PI) 4) 4 1/120 (* (* (PI) (PI)) -1/6) (* (PI) (PI)) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))

rewrite191.0ms (3.8%)

Memory
-7.2MiB live, 126.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07096558
08016184
141246067
081755858
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
204 → 500
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(/.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 (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)))
(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))
(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)))
(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 #s(literal -1/5040 binary32) (*.f32 x x))
#s(literal -1/5040 binary32)
(*.f32 x x)
(pow.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1/120 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
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#s(approx (+ (* (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ (* -1/6 (/ (pow (PI) 2) (pow x 4))) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/120 (/ (pow (PI) 4) (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* -1/5040 (* (pow x 4) (pow (PI) 6)))))
#s(approx (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 4) (+ (* -1/5040 (pow (PI) 6)) (* 1/120 (/ (pow (PI) 4) (pow x 2)))))))
#s(approx (+ (* (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) (* x x)) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 4))) (+ (* -1/5040 (pow (PI) 6)) (* 1/120 (/ (pow (PI) 4) (pow x 2))))))))
#s(approx (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) #s(hole binary32 (* -1/5040 (* (pow x 2) (pow (PI) 6)))))
#s(approx (+ (* (* -1/5040 (* x x)) (pow (PI) 6)) (* (pow (PI) 4) 1/120)) #s(hole binary32 (* (pow x 2) (+ (* -1/5040 (pow (PI) 6)) (* 1/120 (/ (pow (PI) 4) (pow x 2)))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (PI))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (+ (PI) (/ (PI) x)))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) (*.f32 tau x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) (*.f32 tau x)) (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) (*.f32 tau x))))
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#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
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#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau 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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal 1/6 binary32))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))

eval61.0ms (1.2%)

Memory
-1.2MiB live, 52.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 23 850 to 2 140 computations (91% saved)

prune923.0ms (18.4%)

Memory
4.1MiB live, 989.1MiB allocated; 167ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New56912581
Fresh437
Picked415
Done000
Total57716593
Accuracy
99.7%
Counts
593 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
64.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
77.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
80.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
▶80.4%
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
77.7%
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x))) (*.f32 (*.f32 tau x) (PI.f32))))
▶77.6%
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
94.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) #s(literal -1/5040 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)))) (*.f32 (PI.f32) (*.f32 tau x)))
80.0%
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
▶81.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
✓94.5%
(*.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 (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))))
77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
89.5%
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
▶97.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Compiler

Compiled 1 078 to 599 computations (44.4% saved)

series213.0ms (4.3%)

Memory
39.4MiB live, 351.5MiB allocated; 67ms collecting garbage
Counts
47 → 180
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.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))
(/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32)))
(sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(pow.f32 (exp.f32 (PI.f32)) x)
(exp.f32 (PI.f32))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32))))
(-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (neg.f32 x) (PI.f32))
(neg.f32 x)
(*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
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#s(approx (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (exp (* x (PI)))))
#s(approx (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (- (PI) (* -1 (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (- (PI) (* -1 (* x (PI))))))))
#s(approx (sin (- (PI) (* (neg x) (PI)))) #s(hole binary32 (sin (- (PI) (* -1 (* x (PI)))))))
#s(approx (- (PI) (* (neg x) (PI))) #s(hole binary32 (* x (PI))))
#s(approx (- (PI) (* (neg x) (PI))) #s(hole binary32 (* x (- (/ (PI) x) (* -1 (PI))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (+ (PI) (* tau (* x (PI)))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* x (+ (* tau (PI)) (/ (PI) x)))))
#s(approx (- (PI) (* (neg x) (PI))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (PI) x)) (PI))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
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#s(approx tau #s(hole binary32 tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
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#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
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#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Calls

6 calls:

TimeVariablePointExpression
53.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (sin (- (PI) (* (neg x) (PI)))) (- (PI) (* (neg x) (PI))) (* (neg x) (PI)) (neg x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))))
52.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (sin (- (PI) (* (neg x) (PI)))) (- (PI) (* (neg x) (PI))) (* (neg x) (PI)) (neg x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))))
50.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (sin (- (PI) (* (neg x) (PI)))) (- (PI) (* (neg x) (PI))) (* (neg x) (PI)) (neg x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))))
36.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (sin (- (PI) (* (neg x) (PI)))) (- (PI) (* (neg x) (PI))) (* (neg x) (PI)) (neg x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))))
9.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau)) (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (sin (- (PI) (* (neg x) (PI)))) (- (PI) (* (neg x) (PI))) (* (neg x) (PI)) (neg x) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))))

rewrite244.0ms (4.9%)

Memory
3.1MiB live, 195.5MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09037366
09946620
156036479
086296208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
227 → 453
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
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(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
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(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (- (PI) (* -1 (* x (PI))))) (* x (PI))))))
#s(approx (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (- (PI) (* -1 (* x (PI))))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (- (PI) (* -1 (* x (PI))))))))))))
#s(approx (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (- (PI) (* -1 (* x (PI))))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* -1 (* x (PI))))))))) (* 1/6 (* x (* (PI) (sin (- (PI) (* -1 (* x (PI)))))))))))))
#s(approx (/ (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) #s(hole binary32 (+ (* -1 (/ (sin (- (PI) (* -1 (* x (PI))))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (- (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* -1 (* x (PI)))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* -1 (* x (PI))))))))))))))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (- (PI) (* -1 (* x (PI))))))))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* -1 (* x (PI))))))))) (* x (* (PI) (sin (- (PI) (* -1 (* x (PI)))))))))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (- (PI) (* -1 (* x (PI))))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* -1 (* x (PI)))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* -1 (* x (PI)))))))))))))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (- (PI) (* -1 (* x (PI))))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (- (PI) (* -1 (* x (PI)))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (- (PI) (* -1 (* x (PI))))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (- (PI) (* -1 (* x (PI))))))))))))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (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)))))
(PI.f32)
x
tau
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))
(*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (pow.f32 x #s(literal 1 binary32)) (PI.f32)) (*.f32 (pow.f32 x #s(literal 1 binary32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
#s(literal 2 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 tau x)
(*.f32 x tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))
(*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (pow.f32 x #s(literal 1 binary32)) (PI.f32)) (*.f32 (pow.f32 x #s(literal 1 binary32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (fabs.f32 (PI.f32)) (fabs.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(+.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 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))))
(*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.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))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.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 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (*.f32 tau (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (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 (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))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
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#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (pow (* (PI) x) 2) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* 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 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal 1/6 binary32))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) tau))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))
#s(approx (* (sin (- (PI) (* (neg x) (PI)))) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (/.f32 (fma.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 (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau (neg.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) tau (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1/2 binary32))) tau (*.f32 (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)) tau (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 x) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) (pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1/2 binary32))) tau (*.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval82.0ms (1.6%)

Memory
19.6MiB live, 65.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 17 026 to 1 818 computations (89.3% saved)

prune208.0ms (4.1%)

Memory
-30.2MiB live, 345.0MiB allocated; 30ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New4467453
Fresh4610
Picked325
Done101
Total45415469
Accuracy
99.7%
Counts
469 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶77.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
80.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
▶97.9%
(/.f32 (*.f32 (/.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))
77.7%
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
▶82.4%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
80.0%
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
✓81.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
▶77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
89.5%
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
94.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
✓96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
▶80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Compiler

Compiled 1 070 to 590 computations (44.9% saved)

series464.0ms (9.3%)

Memory
-22.0MiB live, 252.9MiB allocated; 694ms collecting garbage
Counts
44 → 207
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.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))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(*.f32 (*.f32 tau x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x)))
(cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))
Outputs
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* 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)))))))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* 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)))))))))))))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* tau (* (PI) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (PI))) (* x (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* 1/6 (/ (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (PI)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (PI))) (* x (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/6 (/ (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (PI))) (* x (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI)))))))))))))))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* x (- (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))) (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))) (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (PI)) (* tau (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (cos (PI))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (+ (cos (PI)) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (+ (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)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (PI)) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (/ (sin (PI)) (* tau (pow (PI) 2))) (/ (* x (cos (PI))) (PI))) (pow x 2))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* x (+ (* -1/2 (* tau (* x (sin (PI))))) (/ (cos (PI)) (PI)))) (/ (sin (PI)) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (sin (PI)))) (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (PI)))))))) (/ (cos (PI)) (PI)))) (/ (sin (PI)) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (+ (PI) (* tau (* x (PI))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (pow (* (PI) x) 2) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
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Calls

6 calls:

TimeVariablePointExpression
361.0ms
tau
@inf
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39.0ms
tau
@-inf
((/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* (* tau x) (PI)) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (PI)) x) (neg (PI)) (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (+ (* (* tau x) (PI)) (/ (PI) 2)) (/ (PI) 2) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* tau (neg (* (PI) x))) (neg (* (PI) x)))
19.0ms
x
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((/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* (* tau x) (PI)) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (PI)) x) (neg (PI)) (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (+ (* (* tau x) (PI)) (/ (PI) 2)) (/ (PI) 2) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* tau (neg (* (PI) x))) (neg (* (PI) x)))
18.0ms
x
@-inf
((/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* (* tau x) (PI)) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (PI)) x) (neg (PI)) (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (+ (* (* tau x) (PI)) (/ (PI) 2)) (/ (PI) 2) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* tau (neg (* (PI) x))) (neg (* (PI) x)))
11.0ms
tau
@0
((/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (* (pow (* (PI) x) 2) tau) (pow (* (PI) x) 2) 2 (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (* (* tau x) (PI)) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (PI)) x) (neg (PI)) (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (+ (* (* tau x) (PI)) (/ (PI) 2)) (/ (PI) 2) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* tau (neg (* (PI) x))) (neg (* (PI) x)))

rewrite233.0ms (4.7%)

Memory
38.0MiB live, 266.4MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011418724
012367943
171227889
089677612
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
251 → 524
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.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))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(*.f32 (*.f32 tau x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x)))
(cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* 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)))))))))))))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) #s(hole binary32 (* 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)))))))))))))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* tau (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* tau (* (PI) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (PI))) (* x (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* 1/6 (/ (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (PI)))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (PI))) (* x (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/6 (/ (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (PI))) (* x (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI)))))))))))))))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* x (- (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))) (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (neg (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)))) #s(hole binary32 (/ (- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))) (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (sin (PI)) (* tau (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (cos (PI))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (+ (cos (PI)) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x)))
#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) #s(hole binary32 (/ (+ (* x (+ (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)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (sin (PI)) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (/ (sin (PI)) (* tau (pow (PI) 2))) (/ (* x (cos (PI))) (PI))) (pow x 2))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* x (+ (* -1/2 (* tau (* x (sin (PI))))) (/ (cos (PI)) (PI)))) (/ (sin (PI)) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau)) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (sin (PI)))) (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (PI)))))))) (/ (cos (PI)) (PI)))) (/ (sin (PI)) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (+ (PI) (* tau (* x (PI))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (* (pow (* (PI) x) 2) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
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#s(approx (/ (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* 1/6 (* x (* (pow (PI) 2) (cos (PI))))) (* 1/2 (* (PI) (sin (PI))))))))) x)))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (+ (PI) (* x (PI)))))
#s(approx (* (neg (PI)) x) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (cos (* 1/2 (PI))) (* tau (* x (PI)))))))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (cos (* 1/2 (PI))) (* tau (PI)))) (* x (sin (* 1/2 (PI))))) x)))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (cos (* 1/2 (PI))) (* tau (PI)))) (* x (+ (sin (* 1/2 (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (cos (* 1/2 (PI)))))) (* -1/6 (/ (* (PI) (cos (* 1/2 (PI)))) tau)))))))) x)))
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#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (* -1 (/ (* (cos (* 1/2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (cos (* 1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (* tau (* (sin (* 1/2 (PI))) (sin (* x (PI))))) (* x (PI)))) tau)))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (cos (* 1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (* (cos (* 1/2 (PI))) (sin (* x (PI)))))) (/ (* (sin (* 1/2 (PI))) (sin (* x (PI)))) (* x (PI)))))) tau)))
#s(approx (/ (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (cos (* 1/2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* tau (+ (* -1/6 (* tau (* x (* (PI) (* (sin (* 1/2 (PI))) (sin (* x (PI)))))))) (* 1/2 (* (cos (* 1/2 (PI))) (sin (* x (PI))))))) (/ (* (sin (* 1/2 (PI))) (sin (* x (PI)))) (* x (PI)))))) tau)))
#s(approx (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) #s(hole binary32 (* (cos (* 1/2 (PI))) (sin (* x (PI))))))
#s(approx (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) #s(hole binary32 (+ (* -1 (* tau (* x (* (PI) (* (sin (* 1/2 (PI))) (sin (* x (PI)))))))) (* (cos (* 1/2 (PI))) (sin (* x (PI)))))))
#s(approx (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1 (* x (* (PI) (* (sin (* 1/2 (PI))) (sin (* x (PI))))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (* 1/2 (PI))) (sin (* x (PI)))))))))) (* (cos (* 1/2 (PI))) (sin (* x (PI)))))))
#s(approx (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1 (* x (* (PI) (* (sin (* 1/2 (PI))) (sin (* x (PI))))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (cos (* 1/2 (PI))) (sin (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (sin (* 1/2 (PI))) (sin (* x (PI)))))))))))) (* (cos (* 1/2 (PI))) (sin (* x (PI)))))))
#s(approx (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) #s(hole binary32 (+ (cos (* 1/2 (PI))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* 1/2 (PI))))))) (* x (* (PI) (sin (* 1/2 (PI))))))))))
#s(approx (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) #s(hole binary32 (+ (cos (* 1/2 (PI))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* 1/2 (PI))))))))) (* x (* (PI) (sin (* 1/2 (PI))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (sin (+ (PI) (* x (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (sin (+ (PI) (* x (PI)))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (sin (+ (PI) (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* x (PI))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* tau (+ (sin (+ (PI) (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (+ (PI) (* x (PI)))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole 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))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* 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)))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (/ (PI) 2)) #s(hole binary32 (* tau (+ (* 1/2 (/ (PI) tau)) (* x (PI))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
#s(approx (+ (* (* tau x) (PI)) (/ (PI) 2)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1/2 (/ (PI) tau)))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) tau) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) x))
tau
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (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)))))
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)))
(*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau)
(/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))))
(-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 0 binary32) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 0 binary32)))
(sin.f32 (+.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))
(sin.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(+.f32 (*.f32 (cos.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))) #s(literal 1 binary32)))
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#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau)
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#s(approx (neg (* (PI) x)) (*.f32 (neg.f32 (PI.f32)) x))
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#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx tau tau)
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#s(approx (* (sin (* (PI) x)) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (pow (* (PI) x) 2) tau))) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) tau) (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 (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
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#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
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#s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 tau (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
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#s(approx (* (cos (+ (* (* tau x) (PI)) (/ (PI) 2))) (sin (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
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#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -1/2 binary32))) tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) tau (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
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#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal 1/6 binary32))) (*.f32 tau tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (PI.f32) x)))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* tau (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 1/2 binary32) (*.f32 (PI.f32) x)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))
#s(approx (+ (* (* tau x) (PI)) (/ (PI) 2)) (neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/2 binary32) (*.f32 (neg.f32 (PI.f32)) x)) tau)))

eval57.0ms (1.1%)

Memory
-33.6MiB live, 112.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 20 534 to 2 235 computations (89.1% saved)

prune272.0ms (5.4%)

Memory
22.6MiB live, 351.1MiB allocated; 39ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New5465551
Fresh448
Picked145
Done022
Total55115566
Accuracy
99.8%
Counts
566 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) x))) (cos.f32 (+.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓77.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
✓97.9%
(/.f32 (*.f32 (/.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))
82.5%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
82.1%
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 x tau)))) (*.f32 (PI.f32) x)))
80.0%
(/.f32 (*.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
✓81.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
✓77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
80.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (neg.f32 (PI.f32)) x)))
89.5%
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
94.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
✓96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
✓80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Compiler

Compiled 1 952 to 596 computations (69.5% saved)

regimes67.0ms (1.3%)

Memory
11.7MiB live, 58.6MiB allocated; 1ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.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 (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))))
(*.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 (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.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 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 x tau)))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) #s(literal -1/5040 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)))) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x))) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.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))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) x))) (cos.f32 (+.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
Outputs
(/.f32 (*.f32 (/.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))
Calls

4 calls:

38.0ms
x
9.0ms
tau
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.9%1(*.f32 x (PI.f32))
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1x
97.9%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes56.0ms (1.1%)

Memory
-35.9MiB live, 66.0MiB allocated; 28ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.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 (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))))
(*.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 (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.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 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 x tau)))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x)) #s(literal -1/5040 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)))) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x))) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
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:

32.0ms
(*.f32 x (PI.f32))
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
tau
7.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1x
97.8%1tau
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes20.0ms (0.4%)

Memory
4.2MiB live, 51.2MiB allocated; 2ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.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 (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))))
(*.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 (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))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
Calls

4 calls:

6.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
97.6%1(*.f32 x (PI.f32))
97.6%1x
97.6%1tau
97.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes18.0ms (0.4%)

Memory
-1.1MiB live, 45.6MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.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 (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))))
(*.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 (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))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Calls

4 calls:

6.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
x
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.3%1(*.f32 x (PI.f32))
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1x
97.3%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
97.0%1(*.f32 x (PI.f32))
97.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%1x
97.0%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
1.0ms
tau
Results
AccuracySegmentsBranch
96.7%1(*.f32 x (PI.f32))
96.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%1x
96.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory
-37.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
tau
1.0ms
(*.f32 x (PI.f32))
1.0ms
x
Results
AccuracySegmentsBranch
80.4%1(*.f32 x (PI.f32))
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%1x
80.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify57.0ms (1.1%)

Memory
38.6MiB live, 89.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087286
1120286
2238286
3658286
41566286
54212286
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.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))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
Outputs
(/.f32 (*.f32 (/.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))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x) #s(literal 1/24 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) #s(literal 1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) x (PI.f32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (log (pow (exp (PI)) x))) (* x (PI)))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))

derivations176.0ms (3.5%)

Memory
-2.3MiB live, 187.1MiB allocated; 9ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 286 to 87 computations (69.6% saved)

preprocess69.0ms (1.4%)

Memory
-23.2MiB live, 71.0MiB allocated; 4ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 866 to 314 computations (63.7% saved)

end0.0ms (0%)

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

Profiling

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