Lanczos kernel

Time bar (total: 16.8s)

start0.0ms (0.0%)

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

analyze25.0ms (0.1%)

Memory
1.4MiB live, 46.4MiB allocated; 8ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%0.0%100.0%0.0%0.0%0.0%0
0.0%0.0%0.0%100.0%0.0%0.0%0.0%1
50.0%0.0%0.0%100.0%0.0%0.0%0.0%2
50.0%0.0%0.0%100.0%0.0%0.0%0.0%3
75.0%0.0%0.0%100.0%0.0%0.0%0.0%4
75.0%0.0%0.0%100.0%0.0%0.0%0.0%5
87.5%0.0%0.0%100.0%0.0%0.0%0.0%6
87.5%0.0%0.0%100.0%0.0%0.0%0.0%7
93.7%0.0%0.0%100.0%0.0%0.0%0.0%8
93.7%0.0%0.0%100.0%0.0%0.0%0.0%9
96.9%0.0%0.0%100.0%0.0%0.0%0.0%10
96.9%0.0%0.0%100.0%0.0%0.0%0.0%11
98.4%0.0%0.0%100.0%0.0%0.0%0.0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample2.1s (12.5%)

Memory
3.3MiB live, 2 043.5MiB allocated; 454ms collecting garbage
Samples
1.8s8 254×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-sin: 177.0ms (30.5% of total, 307.7 MiB)
ival-sinu: 147.0ms (25.3% of total, 230.3 MiB)
ival-mult!: 132.0ms (22.7% of total, 261.3 MiB)
ival-div!: 106.0ms (18.3% of total, 159.7 MiB)
adjust: 16.0ms (2.8% of total, 17.0 MiB)
ival-and: 1.0ms (0.2% of total, 1.2 MiB)
ival-<=: 1.0ms (0.2% of total, 1.4 MiB)
ival-pi: 0.0ms (0.0% of total, 0.0 MiB)
ival-assert: 0.0ms (0.0% of total, 0.3 MiB)
Bogosity

preprocess397.0ms (2.4%)

Memory
-6.0MiB live, 83.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
1177128
21349116
37706116
440356116
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(PI)
Outputs
#s(literal 13176795/4194304 binary32)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series73.0ms (0.4%)

Memory
-1.0MiB live, 143.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521164
Stop Event
iter-limit
Counts
10 → 8
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 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 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
#s(approx x #s(literal 0 binary32))
#s(approx x x)
#s(approx (* x (PI)) (*.f32 x (PI.f32)))
#s(approx (* (* x (PI)) tau) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx tau tau)
Calls

6 calls:

TimeVariablePoint
34.0ms
tau
0
5.0ms
x
0
5.0ms
x
inf
4.0ms
x
-inf
4.0ms
tau
inf

rewrite2.2s (13.2%)

Memory
81.7MiB live, 1 782.4MiB allocated; 321ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01062
01862
16362
238160
3382560
42245360
05089160
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 728
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 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 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
x
(PI.f32)
(*.f32 (neg.f32 (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)) (log.f32 (exp.f32 (cbrt.f32 (neg.f32 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (fabs.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)) (log.f32 (exp.f32 (cbrt.f32 (fabs.f32 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)) (log.f32 (exp.f32 (cbrt.f32 (PI.f32)))))
(*.f32 (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32))) (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(*.f32 (*.f32 (neg.f32 x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (neg.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32))))
(*.f32 (log.f32 (exp.f32 (PI.f32))) (log.f32 (exp.f32 x)))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (log.f32 (exp.f32 (cbrt.f32 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (neg.f32 x) (log.f32 (exp.f32 (neg.f32 (PI.f32)))))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (neg.f32 x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (cbrt.f32 (fabs.f32 (PI.f32))) (*.f32 (cbrt.f32 (fabs.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (neg.f32 (PI.f32)) (log.f32 (exp.f32 (neg.f32 x))))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (exp.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (exp.f32 (*.f32 (cbrt.f32 (PI.f32)) x))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (neg.f32 (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (log.f32 (exp.f32 (PI.f32))))
(*.f32 x (PI.f32))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) (PI.f32)))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
tau
(*.f32 (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (*.f32 (neg.f32 tau) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (*.f32 (neg.f32 tau) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (neg.f32 tau) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 (neg.f32 x) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (PI.f32))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 tau (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (*.f32 (neg.f32 x) tau) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (neg.f32 x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 (neg.f32 tau) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (neg.f32 x) (neg.f32 tau)) (PI.f32))
(*.f32 (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (neg.f32 tau)))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (neg.f32 (*.f32 (neg.f32 tau) (cbrt.f32 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (*.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (*.f32 tau x) (log.f32 (exp.f32 (PI.f32))))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 tau) (PI.f32)))
(*.f32 (neg.f32 tau) (log.f32 (exp.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(*.f32 (neg.f32 tau) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 x) tau))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (neg.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (neg.f32 tau))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) tau) x))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) tau))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x)))
(*.f32 tau (log.f32 (exp.f32 (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 (neg.f32 x) (neg.f32 tau)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (log.f32 (exp.f32 (*.f32 tau (PI.f32)))))
(*.f32 x (*.f32 tau (PI.f32)))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
(neg.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
(*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(-.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (cos.f32 (-.f32 (neg.f32 (PI.f32)) (PI.f32)))) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (-.f32 (neg.f32 (PI.f32)) (PI.f32)))))
(-.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32)) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(-.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32)) (*.f32 (sin.f32 (fabs.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))))) #s(literal 0 binary32)))
(-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32)))
(-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(-.f32 (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
(-.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(-.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32)))
(fma.f32 (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) (cos.f32 (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(fma.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) (cos.f32 (-.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (-.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32)))
(fma.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))))
(fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(fma.f32 #s(literal 0 binary32) (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(fma.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32) (*.f32 (neg.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32)))
(fma.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)) #s(literal -1 binary32)))
(fma.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (*.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 tau) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x))) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 tau #s(literal 1 binary32)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 1 binary32)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal -1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))))
(neg.f32 (*.f32 (neg.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)))))

eval108.0ms (0.6%)

Memory
-78.0MiB live, 145.6MiB allocated; 111ms collecting garbage
Compiler

Compiled 22 456 to 2 564 computations (88.6% saved)

prune29.0ms (0.2%)

Memory
29.2MiB live, 75.0MiB allocated; 5ms collecting garbage
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New69835733
Fresh000
Picked011
Done000
Total69836734
Accuracy
99.9%
Counts
734 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
81.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.8%
(*.f32 (/.f32 (sin.f32 (-.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
70.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
77.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
80.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.3%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.4%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x)))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
64.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 1 753 to 381 computations (78.3% saved)

sample0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(PI)
1
(neg (PI))
1/2
Outputs
#s(literal 13176795/4194304 binary32)
#s(literal 1 binary32)
#s(literal -13176795/4194304 binary32)
#s(literal 1/2 binary32)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series62.0ms (0.4%)

Memory
-10.8MiB live, 132.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06874024
Stop Event
iter-limit
Counts
35 → 30
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(neg.f32 x)
(neg.f32 (PI.f32))
(*.f32 tau x)
(*.f32 (*.f32 tau x) (PI.f32))
#s(literal 1/2 binary32)
(fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))
(fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))
(sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32)))
(fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32))
(+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))
(cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32)))
(+.f32 #s(literal 1/2 binary32) x)
(fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.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 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
#s(approx x #s(literal 0 binary32))
#s(approx x x)
#s(approx (* x (PI)) (*.f32 x (PI.f32)))
#s(approx (* (* x (PI)) tau) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (neg x) (*.f32 #s(literal -1 binary32) x))
#s(approx (* tau x) (*.f32 tau x))
#s(approx (+ (* (* tau x) (neg (PI))) (PI)) (PI.f32))
#s(approx (+ (* (* tau x) (neg (PI))) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (+ (* (neg x) tau) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* (neg x) tau) 1/2) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x))))
#s(approx (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (+.f32 (PI.f32) (fma.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32))))
#s(approx (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI)) (fma.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32)))))
#s(approx (cos (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI))) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32)))))
#s(approx (cos (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI))) (+.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32)))))))))
#s(approx (+ 1/2 x) (+.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 x (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (+.f32 (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (+ (* (* tau x) (neg (PI))) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (+ (* (neg x) tau) 1/2) (*.f32 #s(literal -1 binary32) (*.f32 tau x)))
#s(approx (sin (+ (* (* tau x) (neg (PI))) (PI))) (sin.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))))
#s(approx (cos (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI))) (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x)))))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) x))))))
#s(approx tau tau)
Calls

6 calls:

TimeVariablePoint
11.0ms
x
0
7.0ms
tau
0
5.0ms
x
inf
5.0ms
x
-inf
5.0ms
tau
-inf

rewrite1.4s (8.5%)

Memory
-17.1MiB live, 127.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040311
075281
1326281
22531271
325938271
444860271
05042639
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 0
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(neg.f32 x)
(neg.f32 (PI.f32))
(*.f32 tau x)
(*.f32 (*.f32 tau x) (PI.f32))
#s(literal 1/2 binary32)
(fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))
(fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))
(sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32)))
(fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32))
(+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))
(cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32)))
(+.f32 #s(literal 1/2 binary32) x)
(fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.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 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs

eval5.0ms (0.0%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 414 to 201 computations (85.8% saved)

prune17.0ms (0.1%)

Memory
-8.9MiB live, 37.1MiB allocated; 4ms collecting garbage
Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New57562
Fresh03030
Picked145
Done011
Total584098
Accuracy
99.9%
Counts
98 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
81.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) #s(literal -13176795/4194304 binary32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.8%
(*.f32 (/.f32 (sin.f32 (-.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
70.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
77.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
80.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.6%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.5%
(*.f32 (/.f32 (sin.f32 #s(approx (+ (* (* tau x) (neg (PI))) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.1%
(*.f32 (/.f32 (sin.f32 #s(approx (+ (* (* tau x) (neg (PI))) (PI)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.3%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.4%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.0%
(*.f32 (/.f32 #s(approx (cos (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI))) (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x)))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
64.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
52.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 1 836 to 408 computations (77.8% saved)

sample0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(PI)
1
1/2
Outputs
#s(literal 13176795/4194304 binary32)
#s(literal 1 binary32)
#s(literal 1/2 binary32)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series1.1s (6.8%)

Memory
31.1MiB live, 218.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011507274
Stop Event
iter-limit
Counts
42 → 29
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(neg.f32 x)
(*.f32 (PI.f32) x)
(*.f32 (neg.f32 x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))
(sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
#s(literal 1/2 binary32)
(fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))
(*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))
(cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 #s(literal 1/2 binary32) x)
(fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
Outputs
#s(approx x #s(literal 0 binary32))
#s(approx x x)
#s(approx (* x (PI)) (*.f32 x (PI.f32)))
#s(approx (* (* x (PI)) tau) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
#s(approx (neg x) (*.f32 #s(literal -1 binary32) x))
#s(approx (* (neg x) tau) (*.f32 #s(literal -1 binary32) (*.f32 tau x)))
#s(approx (* (* (neg x) tau) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (+ (* (neg x) tau) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* (neg x) tau) 1/2) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x))))
#s(approx (* (PI) (+ (* (neg x) tau) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (* (PI) (+ (* (neg x) tau) 1/2)) (fma.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* (PI) (+ (* (neg x) tau) 1/2))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* (PI) (+ (* (neg x) tau) 1/2))) (+.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
#s(approx (+ 1/2 x) (+.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 x (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (+.f32 (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (sin (* (* (neg x) tau) (PI))) (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (sin (* tau (* (PI) x))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (cos (* (PI) (+ (* (neg x) tau) 1/2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x))))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x)))))
#s(approx (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) x))))))
#s(approx tau tau)
#s(approx (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
#s(approx (/ 1 (/ (PI) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))))) (*.f32 tau (*.f32 x (sin.f32 (*.f32 x (PI.f32))))))
Calls

6 calls:

TimeVariablePoint
121.0ms
tau
inf
10.0ms
x
0
9.0ms
x
inf
7.0ms
tau
0
6.0ms
x
-inf

rewrite3.1s (18.5%)

Memory
31.2MiB live, 1 764.1MiB allocated; 345ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047401
086379
1369368
22376351
318541351
050558351
Stop Event
iter-limit
node-limit
iter-limit
Counts
42 → 2 737
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(neg.f32 x)
(*.f32 (PI.f32) x)
(*.f32 (neg.f32 x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))
(sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
#s(literal 1/2 binary32)
(fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))
(*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))
(cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 #s(literal 1/2 binary32) x)
(fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
Outputs
x
(PI.f32)
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (log.f32 (exp.f32 (PI.f32))))
(*.f32 x (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 1 binary32))) x))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
tau
(*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(*.f32 (log.f32 (exp.f32 (PI.f32))) (-.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) tau)) (cbrt.f32 (neg.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) tau)))
(*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 tau) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 tau x) (log.f32 (exp.f32 (PI.f32))))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 x) tau))
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(*.f32 (*.f32 (neg.f32 x) tau) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 tau) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 tau (log.f32 (exp.f32 (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)))
(*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))))
(*.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (log.f32 (exp.f32 (*.f32 tau (PI.f32)))))
(*.f32 x (*.f32 tau (PI.f32)))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (fma.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (fma.f32 tau x #s(literal -1/2 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (*.f32 (neg.f32 x) tau) (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 x) tau) (PI.f32) (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (-.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) x))))
(-.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) (PI.f32)))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(fma.f32 (+.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 (log.f32 (exp.f32 (PI.f32))) (-.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))) #s(literal 0 binary32))
(fma.f32 (log.f32 (exp.f32 (PI.f32))) (fma.f32 tau x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) tau)) (cbrt.f32 (neg.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (cbrt.f32 (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))) (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) tau)) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (log.f32 (exp.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (neg.f32 tau) (*.f32 (neg.f32 x) (PI.f32)) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (neg.f32 (PI.f32))) (-.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) #s(literal 1/2 binary32))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (neg.f32 (PI.f32))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal -1/2 binary32) (*.f32 tau x))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 tau (PI.f32)) x #s(literal 0 binary32))
(fma.f32 (*.f32 tau x) (log.f32 (exp.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (*.f32 tau x) (PI.f32) #s(literal 0 binary32))
(fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (PI.f32)) #s(literal -1/2 binary32) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal -1/2 binary32) (*.f32 tau x)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 x) tau) #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) tau))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 tau x #s(literal -1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) tau))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (neg.f32 x) tau))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) (log.f32 (exp.f32 (neg.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) (neg.f32 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (exp.f32 (PI.f32))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 x) tau) (neg.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 tau) (PI.f32)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(fma.f32 tau (log.f32 (exp.f32 (*.f32 (PI.f32) x))) #s(literal 0 binary32))
(fma.f32 tau (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) x) tau #s(literal 0 binary32))
(fma.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal -1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 tau x))) #s(literal 0 binary32))
(fma.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (fma.f32 tau x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 tau x) #s(literal 0 binary32))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(fma.f32 x (log.f32 (exp.f32 (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(fma.f32 x (*.f32 tau (PI.f32)) #s(literal 0 binary32))
(+.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(+.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(+.f32 #s(literal 0 binary32) (*.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
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(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 1 binary32))))
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(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))))
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(neg.f32 (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) x)))))

eval352.0ms (2.1%)

Memory
30.8MiB live, 523.6MiB allocated; 112ms collecting garbage
Compiler

Compiled 88 876 to 10 173 computations (88.6% saved)

prune132.0ms (0.8%)

Memory
-74.9MiB live, 321.3MiB allocated; 68ms collecting garbage
Pruning

76 alts after pruning (68 fresh and 8 done)

PrunedKeptTotal
New3 010473 057
Fresh92130
Picked235
Done055
Total3 021763 097
Accuracy
100.0%
Counts
3 097 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
81.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) #s(literal -13176795/4194304 binary32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.6%
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.8%
(*.f32 (/.f32 (sin.f32 (-.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
77.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
80.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.3%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.4%
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 tau x)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
61.0%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
83.4%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.4%
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x)))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
75.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
78.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.2%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)) tau) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (neg.f32 x)) tau) (sin.f32 (*.f32 (PI.f32) x)))))
75.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))))))
72.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (+.f32 (+.f32 (fma.f32 (+.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
79.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))))))
78.9%
(*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
51.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -3/2 binary32) x) (PI.f32) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
52.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
53.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
53.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
51.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -3/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
50.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal 3/2 binary32) (PI.f32) (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
53.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
50.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x (PI.f32))))
52.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
53.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
52.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
54.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
54.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 (-.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
53.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 #s(literal 3/2 binary32) (-.f32 x #s(literal -1/2 binary32))))) (*.f32 x (PI.f32))))
64.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
54.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
52.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
50.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (+.f32 (-.f32 x #s(literal -3/2 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
51.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
52.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
52.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
50.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
51.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
52.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
54.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
50.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (+.f32 (+.f32 (+.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
52.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
50.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (cbrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
53.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (*.f32 x (PI.f32))))
54.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
52.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
14.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
Compiler

Compiled 2 929 to 707 computations (75.9% saved)

sample1.0ms (0.0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(PI)
1
1/2
-1/2
(* 1/2 (PI))
(+ (PI) (* 1/2 (PI)))
-3/2
Outputs
#s(literal 13176795/4194304 binary32)
#s(literal 1 binary32)
#s(literal 1/2 binary32)
#s(literal -1/2 binary32)
#s(literal 13176795/8388608 binary32)
#s(literal 2470649/524288 binary32)
#s(literal -3/2 binary32)
Samples
0.0ms0valid
Compiler

Compiled 15 to 9 computations (40.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series88.0ms (0.5%)

Memory
30.1MiB live, 211.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138011666
Stop Event
iter-limit
Counts
40 → 42
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(*.f32 tau (PI.f32))
#s(literal 1/2 binary32)
#s(literal -1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(fma.f32 tau x #s(literal -1/2 binary32))
(*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal -3/2 binary32)
(-.f32 #s(literal -3/2 binary32) x)
(-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32))
(fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32)))
(fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))
(-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))
(sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32)))
(cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
Outputs
#s(approx x #s(literal 0 binary32))
#s(approx x x)
#s(approx (* x (PI)) (*.f32 x (PI.f32)))
#s(approx (* (* x (PI)) tau) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 x (PI.f32)))))
#s(approx (+ (* tau x) -1/2) #s(literal -1/2 binary32))
#s(approx (+ (* tau x) -1/2) (-.f32 (*.f32 tau x) #s(literal 1/2 binary32)))
#s(approx (* (+ (* tau x) -1/2) (PI)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
#s(approx (* (+ (* tau x) -1/2) (PI)) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (+ (* (+ (* tau x) -1/2) (PI)) (* 1/2 (PI))) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (+ (* tau x) -1/2) (PI)) (* 1/2 (PI))) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (- -3/2 x) #s(literal -3/2 binary32))
#s(approx (- -3/2 x) (-.f32 (*.f32 #s(literal -1 binary32) x) #s(literal 3/2 binary32)))
#s(approx (- (- -3/2 x) 1) #s(literal -5/2 binary32))
#s(approx (- (- -3/2 x) 1) (-.f32 (*.f32 #s(literal -1 binary32) x) #s(literal 5/2 binary32)))
#s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal -5/2 binary32) (PI.f32))))
#s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (+.f32 (PI.f32) (fma.f32 #s(literal -5/2 binary32) (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))))
#s(approx (cos (+ (* (PI) (- (- -3/2 x) 1)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal -5/2 binary32) (PI.f32)))))
#s(approx (cos (+ (* (PI) (- (- -3/2 x) 1)) (PI))) (+.f32 (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal -5/2 binary32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (+.f32 (PI.f32) (*.f32 #s(literal -5/2 binary32) (PI.f32))))))))
#s(approx (+ (* (* tau (PI)) x) (PI)) (PI.f32))
#s(approx (+ (* (* tau (PI)) x) (PI)) (+.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (cos (* (+ (* tau x) -1/2) (PI))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))
#s(approx (cos (* (+ (* tau x) -1/2) (PI))) (+.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))))
#s(approx (sin (+ (* (+ (* tau x) -1/2) (PI)) (* 1/2 (PI)))) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (* (+ (* tau x) -1/2) (PI)) (* 1/2 (PI)))) (+.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (cos.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (+.f32 (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (+ (* tau x) -1/2) (*.f32 tau x))
#s(approx (- -3/2 x) (*.f32 #s(literal -1 binary32) x))
#s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
#s(approx (cos (+ (* (PI) (- (- -3/2 x) 1)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 5/2 binary32) x))))))
#s(approx (sin (- (+ (* (* tau (PI)) x) (PI)) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (cos (* (+ (* tau x) -1/2) (PI))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) #s(literal 1/2 binary32)))))
#s(approx (sin (+ (* (+ (* tau x) -1/2) (PI)) (* 1/2 (PI)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (PI.f32) (-.f32 (*.f32 tau x) #s(literal 1/2 binary32))))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x)))))
#s(approx (cos (+ (* (PI) (- (- -3/2 x) 1)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal -1 binary32) x) #s(literal 5/2 binary32))))))
#s(approx (cos (+ (* (PI) (+ 1/2 x)) (PI))) (cos.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) x))))))
#s(approx tau tau)
#s(approx (* tau (PI)) (*.f32 tau (PI.f32)))
Calls

6 calls:

TimeVariablePoint
11.0ms
tau
0
9.0ms
x
inf
8.0ms
x
0
6.0ms
x
-inf
6.0ms
tau
inf

rewrite3.1s (18.5%)

Memory
93.0MiB live, 1 549.0MiB allocated; 380ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048402
086382
1411355
23090311
328103308
051821308
Stop Event
iter-limit
node-limit
iter-limit
Counts
40 → 3 666
Calls
Call 1
Inputs
x
(PI.f32)
(*.f32 x (PI.f32))
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
(*.f32 tau (PI.f32))
#s(literal 1/2 binary32)
#s(literal -1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(fma.f32 tau x #s(literal -1/2 binary32))
(*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal -3/2 binary32)
(-.f32 #s(literal -3/2 binary32) x)
(-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32))
(fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))
(cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32)))
(fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))
(-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))
(sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32)))
(cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))
(/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
Outputs
x
(PI.f32)
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (PI.f32) x)
(*.f32 x (log.f32 (exp.f32 (PI.f32))))
(*.f32 x (PI.f32))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
tau
(*.f32 (neg.f32 (*.f32 (neg.f32 tau) (PI.f32))) x)
(*.f32 (neg.f32 (neg.f32 tau)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x))
(*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (PI.f32)) #s(literal 1/2 binary32))
(*.f32 (neg.f32 tau) (*.f32 (neg.f32 x) (PI.f32)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 tau) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 x) tau))
(*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) #s(literal -1 binary32))
(*.f32 (*.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau x #s(literal -1/2 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))))
(*.f32 (cbrt.f32 (PI.f32)) (fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau x #s(literal -1/2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (-.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau x #s(literal -1/2 binary32))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal -1/2 binary32))))
(*.f32 (*.f32 tau x) (log.f32 (exp.f32 (PI.f32))))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(*.f32 tau (log.f32 (exp.f32 (*.f32 (PI.f32) x))))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) (neg.f32 (neg.f32 tau)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 x (log.f32 (exp.f32 (*.f32 tau (PI.f32)))))
(*.f32 x (neg.f32 (*.f32 (neg.f32 tau) (PI.f32))))
(*.f32 x (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))
(/.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)))) (-.f32 (PI.f32) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32))))
(/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32))) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32))) (*.f32 (PI.f32) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32))))))
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (-.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) (-.f32 (neg.f32 (PI.f32)) (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(/.f32 (*.f32 (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32)))
(/.f32 (*.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (*.f32 tau (*.f32 (PI.f32) x))) (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
(/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (fma.f32 tau x #s(literal -1/2 binary32))) (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1/8 binary32))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)) (PI.f32)) (fma.f32 tau x #s(literal -1 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x)))
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(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
(*.f32 (*.f32 (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))) (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(*.f32 (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))
(*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))) (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (PI.f32) x))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(neg.f32 (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (neg.f32 (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (PI.f32) x)))))

eval302.0ms (1.8%)

Memory
1.4MiB live, 612.8MiB allocated; 85ms collecting garbage
Compiler

Compiled 127 532 to 11 028 computations (91.4% saved)

prune170.0ms (1.0%)

Memory
12.3MiB live, 340.2MiB allocated; 22ms collecting garbage
Pruning

96 alts after pruning (89 fresh and 7 done)

PrunedKeptTotal
New4 139544 193
Fresh283563
Picked415
Done268
Total4 173964 269
Accuracy
100.0%
Counts
4 269 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
97.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
97.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.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)))))
64.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
14.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
64.2%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
64.1%
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
83.7%
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (neg.f32 tau) (PI.f32)) x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.6%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) #s(literal -13176795/4194304 binary32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.5%
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (fma.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
73.9%
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
73.5%
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
60.7%
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
81.5%
(*.f32 (/.f32 (sin.f32 (-.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.5%
(*.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
77.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
80.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.2%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.0%
(*.f32 (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.4%
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
61.0%
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
83.4%
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.4%
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.3%
(*.f32 (/.f32 (cos.f32 (*.f32 (-.f32 (*.f32 tau x) #s(literal 1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.5%
(*.f32 (/.f32 (cos.f32 (*.f32 (+.f32 (fma.f32 tau x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.2%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (PI.f32) x)))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
64.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
78.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.2%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
64.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
64.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)) tau) x) (sin.f32 (*.f32 (PI.f32) x)))))
97.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (neg.f32 x)) tau) (sin.f32 (*.f32 (PI.f32) x)))))
79.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))))))
78.9%
(*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
53.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))))
52.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
50.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
51.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -3/2 binary32) x) (PI.f32) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
51.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
53.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
53.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
51.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -3/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
50.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal 3/2 binary32) (PI.f32) (+.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x (PI.f32))))
51.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
53.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
50.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x (PI.f32))))
51.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
52.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
53.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
51.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (+.f32 (+.f32 (fabs.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (PI.f32)) (neg.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
55.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
54.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 (-.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
53.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 #s(literal 3/2 binary32) (-.f32 x #s(literal -1/2 binary32))))) (*.f32 x (PI.f32))))
64.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
53.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
54.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
51.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))))) (*.f32 x (PI.f32))))
50.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
54.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -1/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
51.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
51.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
19.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 #s(approx (- -3/2 x) (*.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
52.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
52.9%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
50.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
51.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
4.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
51.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
50.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
54.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
50.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (+.f32 (+.f32 (+.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
52.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
53.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (*.f32 x (PI.f32))))
54.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
19.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
14.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
Compiler

Compiled 1 826 to 448 computations (75.5% saved)

regimes455.0ms (2.7%)

Memory
-20.3MiB live, 810.0MiB allocated; 197ms collecting garbage
Counts
1 → 1
11 → 1
46 → 1
56 → 2
67 → 1
142 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
Call 2
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Call 3
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -1/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 #s(literal 3/2 binary32) (-.f32 x #s(literal -1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 (-.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (+.f32 (-.f32 x #s(literal -3/2 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -3/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 #s(approx (- -3/2 x) (*.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -3/2 binary32) x) (PI.f32) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x (PI.f32))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
Call 4
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -1/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 #s(literal 3/2 binary32) (-.f32 x #s(literal -1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 (-.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (+.f32 (-.f32 x #s(literal -3/2 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -3/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 #s(approx (- -3/2 x) (*.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -3/2 binary32) x) (PI.f32) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal 3/2 binary32) (PI.f32) (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
Call 5
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -1/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 #s(literal 3/2 binary32) (-.f32 x #s(literal -1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 (-.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (-.f32 (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 (-.f32 #s(literal -3/2 binary32) x) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (+.f32 (-.f32 x #s(literal -3/2 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -3/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (-.f32 #s(approx (- -3/2 x) (*.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal -3/2 binary32) x) (PI.f32) (*.f32 (PI.f32) #s(literal -3/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) (+.f32 (-.f32 #s(literal -5/2 binary32) x) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) x))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal 3/2 binary32) (PI.f32) (fma.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) (-.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (-.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -1/2 binary32)) (PI.f32))) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 #s(literal 3/2 binary32) (PI.f32) (+.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (+.f32 (+.f32 (+.f32 (fabs.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (+.f32 (+.f32 (+.f32 (fabs.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (PI.f32)) (neg.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (-.f32 x #s(literal -3/2 binary32)) (cbrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 #s(approx (+ (* (* tau x) (neg (PI))) (PI)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
Call 6
Inputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) #s(literal 2470649/524288 binary32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 x #s(literal 1/2 binary32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 (-.f32 x #s(literal -3/2 binary32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 #s(approx (+ (* (PI) (- (- -3/2 x) 1)) (PI)) (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (cos.f32 #s(approx (+ (* (PI) (+ 1/2 x)) (PI)) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -5/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 #s(literal -1/2 binary32) x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (+.f32 (fma.f32 tau x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 tau x #s(literal 1/2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (-.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (neg.f32 x)) tau) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)) tau) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 #s(approx (+ (* (* tau x) (neg (PI))) (PI)) (+.f32 (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) (fma.f32 (neg.f32 x) tau #s(literal 1/2 binary32)) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (neg.f32 (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (fma.f32 (fma.f32 tau x #s(literal -1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) x) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (-.f32 (*.f32 (PI.f32) x) (+.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 #s(approx (cos (+ (+ (* (PI) (+ (* (neg x) tau) 1/2)) (PI)) (PI))) (cos.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 tau x))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 x #s(literal -5/2 binary32)) (PI.f32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (sin.f32 (+.f32 (+.f32 (fma.f32 (+.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (PI.f32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (fma.f32 tau x #s(literal -1/2 binary32)) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

23 calls:

88.0ms
tau
39.0ms
(*.f32 x (PI.f32))
37.0ms
x
35.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
14.3%1tau
14.3%1(*.f32 x (PI.f32))
14.3%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))))
14.3%1x
64.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.1%1tau
64.1%1(*.f32 x (PI.f32))
64.1%1x
64.2%1(*.f32 x (PI.f32))
64.2%1x
64.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
69.6%2(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.2%1tau
69.5%2(*.f32 x (PI.f32))
69.5%2x
71.2%1(*.f32 x (PI.f32))
71.2%1x
71.2%1tau
71.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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 3 031 to 715 computations (76.4% saved)

bsearch1.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999946355819702
0.9999952912330627
Compiler

Compiled 44 to 23 computations (47.7% saved)

derivations1.4s (8.6%)

Memory
4.4MiB live, 371.8MiB allocated; 84ms collecting garbage
Stop Event
fuel
Compiler

Compiled 118 to 40 computations (66.1% saved)

preprocess45.0ms (0.3%)

Memory
18.7MiB live, 111.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 611 to 326 computations (46.6% saved)

end0.0ms (0.0%)

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

Profiling

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