2sin (example 3.3)

Time bar (total: 13.1s)

start0.0ms (0%)

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

analyze67.0ms (0.5%)

Memory
27.0MiB live, 75.0MiB allocated; 2ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.1s (39.2%)

Memory
94.2MiB live, 3 680.3MiB allocated; 1.0s collecting garbage
Samples
2.5s25 896×0invalid
842.0ms5 544×1valid
278.0ms2 712×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-sin: 1.2s (50.2% of total)
ival-fabs: 282.0ms (11.9% of total)
ival-add!: 210.0ms (8.9% of total)
adjust: 182.0ms (7.7% of total)
ival-mult!: 148.0ms (6.3% of total)
ival-<: 143.0ms (6% of total)
ival-sub!: 121.0ms (5.1% of total)
ival-and: 74.0ms (3.1% of total)
ival-assert: 19.0ms (0.8% of total)
Bogosity

preprocess55.0ms (0.4%)

Memory
-14.5MiB live, 29.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
19942
250942
3330842
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series112.0ms (0.9%)

Memory
4.4MiB live, 55.8MiB allocated; 34ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms
x
@-inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms
eps
@-inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms
x
@0
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms
x
@inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite793.0ms (6.1%)

Memory
32.9MiB live, 487.7MiB allocated; 125ms collecting garbage
Counts
6 → 96
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 x eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (neg.f64 eps) x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
(-.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (neg.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 eps)))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (neg.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (neg.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (neg.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps))))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(+.f64 eps x)
(+.f64 eps (neg.f64 (neg.f64 x)))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(neg.f64 (-.f64 (neg.f64 eps) x))
(neg.f64 (-.f64 (neg.f64 x) eps))
x
eps
(neg.f64 (neg.f64 eps))
(cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(neg.f64 (sin.f64 (neg.f64 x)))
(sin.f64 x)
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (neg.f64 (neg.f64 x)))

eval49.0ms (0.4%)

Memory
4.8MiB live, 41.1MiB allocated; 30ms collecting garbage
Compiler

Compiled 1 204 to 405 computations (66.4% saved)

prune9.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New11011121
Fresh000
Picked011
Done000
Total11012122
Accuracy
100.0%
Counts
122 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
99.6%
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
5.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
64.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0%
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
5.5%
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
62.8%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
7.8%
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
99.8%
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
98.8%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
98.3%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
Compiler

Compiled 238 to 232 computations (2.5% saved)

series465.0ms (3.6%)

Memory
-116.3MiB live, 284.7MiB allocated; 131ms collecting garbage
Counts
33 → 125
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(neg.f64 x)
(PI.f64)
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (* 2 x) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (PI.f64)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (PI.f64)))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (*.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 (PI.f64))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (PI.f64))))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (cos.f64 (PI.f64))))))))))
#s(approx (+ (neg x) (PI)) (PI.f64))
#s(approx (+ (neg x) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (-.f64 (PI.f64) x)))
#s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (neg x) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 eps (cos.f64 x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (- eps 0) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* 2 x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
Calls

6 calls:

TimeVariablePointExpression
65.0ms
x
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps) x (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) 1 (* -1/6 (pow x 2)) -1/6 (pow x 2) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (/ (PI) 2))
9.0ms
eps
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps) x (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) 1 (* -1/6 (pow x 2)) -1/6 (pow x 2) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (/ (PI) 2))
6.0ms
eps
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps) x (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) 1 (* -1/6 (pow x 2)) -1/6 (pow x 2) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (/ (PI) 2))
5.0ms
x
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps) x (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) 1 (* -1/6 (pow x 2)) -1/6 (pow x 2) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (/ (PI) 2))
4.0ms
eps
@0
((* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps) x (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) 1 (* -1/6 (pow x 2)) -1/6 (pow x 2) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (/ (PI) 2))

rewrite2.4s (18.6%)

Memory
23.9MiB live, 1 638.7MiB allocated; 384ms collecting garbage
Counts
33 → 2 364
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(neg.f64 x)
(PI.f64)
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (+.f64 (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (neg.f64 (/.f64 eps #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 x eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (neg.f64 (/.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (+.f64 x eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) (/.f64 (+.f64 (-.f64 x (-.f64 (PI.f64) x)) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) (/.f64 (+.f64 (-.f64 x (-.f64 (PI.f64) x)) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) (+.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) (+.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 0 binary64))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) #s(literal 0 binary64)))
(+.f64 (sin.f64 (neg.f64 x)) (+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 0 binary64))
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) #s(literal 0 binary64)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (neg.f64 eps) x)))
(-.f64 (sin.f64 (neg.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps))))
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) #s(literal 0 binary64)) #s(literal 2 binary64) (-.f64 (sin.f64 (neg.f64 x)) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (sin.f64 x) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))) (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 eps (PI.f64))) (+.f64 eps (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (sin.f64 (+.f64 x eps)))
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(neg.f64 #s(literal 0 binary64))
(sin.f64 (PI.f64))
(sin.f64 #s(literal 0 binary64))
(sin.f64 (+.f64 (PI.f64) (PI.f64)))
(sin.f64 (neg.f64 (PI.f64)))
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(sin.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
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(neg.f64 (neg.f64 x))
#s(approx (- (sin (+ eps x)) (sin x)) (sin.f64 eps))
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(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
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(neg.f64 (sin.f64 (neg.f64 eps)))
(sin.f64 eps)
(sin.f64 (+.f64 (neg.f64 eps) (PI.f64)))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
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(sin.f64 (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 x eps)
(+.f64 eps x)
(+.f64 (+.f64 x eps) #s(literal 0 binary64))
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(+.f64 #s(literal 0 binary64) (+.f64 x eps))
(+.f64 eps (-.f64 x #s(literal 0 binary64)))
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(+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))
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(-.f64 (+.f64 x eps) #s(literal 0 binary64))
(-.f64 (-.f64 x #s(literal 0 binary64)) (neg.f64 eps))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(-.f64 eps (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x) (neg.f64 (/.f64 eps #s(literal 2 binary64))))
(-.f64 eps (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 (/.f64 eps #s(literal 2 binary64)) (-.f64 (neg.f64 x) (/.f64 eps #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
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(fma.f64 (+.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sin.f64 x))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 x)) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (sin.f64 x))
(fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cos.f64 x)) (sin.f64 x))
(fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sin.f64 x))
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #s(literal 0 binary64) (sin.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 0 binary64) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 0 binary64)) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 0 binary64)) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sin.f64 x))
(neg.f64 (sin.f64 (neg.f64 x)))
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 (neg.f64 x) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (/.f64 (+.f64 (-.f64 x (-.f64 (PI.f64) x)) (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))))
(sin.f64 (+.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (-.f64 x (-.f64 (PI.f64) x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (PI.f64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (PI.f64) (+.f64 x x)))
(*.f64 (*.f64 (-.f64 (PI.f64) (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(-.f64 (neg.f64 x) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (PI.f64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 x (-.f64 (PI.f64) x)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (PI.f64) (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (PI.f64) (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (neg.f64 x) x) (neg.f64 #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (neg.f64 (PI.f64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (neg.f64 x))
(fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))

eval423.0ms (3.2%)

Memory
27.1MiB live, 799.9MiB allocated; 229ms collecting garbage
Compiler

Compiled 27 800 to 10 194 computations (63.3% saved)

prune57.0ms (0.4%)

Memory
14.8MiB live, 151.2MiB allocated; 15ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2 612122 624
Fresh246
Picked415
Done011
Total2 618182 636
Accuracy
100.0%
Counts
2 636 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
5.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
5.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
64.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.1%
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
62.8%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
61.9%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
5.5%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
7.8%
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
5.3%
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
99.8%
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
99.8%
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
99.2%
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
98.8%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
98.3%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.4%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
98.3%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
Compiler

Compiled 480 to 452 computations (5.8% saved)

series689.0ms (5.3%)

Memory
1.6MiB live, 768.5MiB allocated; 302ms collecting garbage
Counts
48 → 180
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))
(+.f64 eps (PI.f64))
(PI.f64)
x
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(sin.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)
(sin.f64 x)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))))
(neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))
(-.f64 (PI.f64) (-.f64 x (PI.f64)))
(-.f64 x (PI.f64))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))
(+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))))
(sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))
(-.f64 (PI.f64) (fabs.f64 x))
(fabs.f64 x)
(sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))
(+.f64 (PI.f64) (fabs.f64 x))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (neg (- (PI) (- x (PI))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (sin (neg (- (PI) (- x (PI))))) (+.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (sin (neg (- (PI) (- x (PI))))) (+.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (sin (neg (- (PI) (- x (PI))))) (+.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))))))
#s(approx (neg (- (PI) (- x (PI)))) (*.f64 #s(literal -2 binary64) (PI.f64)))
#s(approx (neg (- (PI) (- x (PI)))) (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (- (PI) (- x (PI))) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (- (PI) (- x (PI))) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (- x (PI)) (*.f64 #s(literal -1 binary64) (PI.f64)))
#s(approx (- x (PI)) (-.f64 x (PI.f64)))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))
#s(approx (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))
#s(approx (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))
#s(approx (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))
#s(approx (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))
#s(approx (sin (- (PI) (fabs x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))
#s(approx (- (PI) (fabs x)) (-.f64 (PI.f64) (fabs.f64 x)))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (sin (+ (PI) (fabs x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))))
#s(approx (+ (PI) (fabs x)) (+.f64 (PI.f64) (fabs.f64 x)))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (* 2 x) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (neg (- (PI) (- x (PI))))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (neg (- (PI) (- x (PI)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (- (PI) (- x (PI))) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (PI) (- x (PI))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (- x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x)))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
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#s(approx (sin (neg (- (PI) (- x (PI))))) (sin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (neg (- (PI) (- x (PI)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (- (PI) (- x (PI))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- x (PI)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
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#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
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#s(approx (sin (/ (- eps 0) 2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
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#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (+ eps (PI)) 2) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (/ (+ eps (PI)) 2) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ eps (PI)) (PI.f64))
#s(approx (+ eps (PI)) (+.f64 eps (PI.f64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow eps 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))
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#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (sin.f64 x))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (fma.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (sin.f64 x)))))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (fma.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (fma.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (fma.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (+.f64 (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (+.f64 (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (+.f64 (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))))))
#s(approx (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (*.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))
#s(approx (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (fma.f64 #s(literal -1/4 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (- eps 0) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (/ (+ eps (PI)) 2) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (/ (+ eps (PI)) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)))))
#s(approx (+ eps (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))) eps)))))
#s(approx (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))) eps)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* 2 x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (sin (+ (/ (+ eps (PI)) 2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (+ (/ (+ eps (PI)) 2) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ eps (PI)) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ eps (PI)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))))
#s(approx (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))))))))))
#s(approx (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))))))))
#s(approx (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))) eps)) #s(literal 1/2 binary64)))))
#s(approx (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))) eps)) #s(literal 1 binary64)))))
#s(approx (cos (/ (+ (* 2 x) eps) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (* 2 x) eps) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (+ eps (PI)) (PI) x (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (* -1/6 (pow eps 2)) -1/6 (pow eps 2) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (sin (+ x eps)) (+ x eps) (sin (neg (- (PI) (- x (PI))))) (neg (- (PI) (- x (PI)))) (- (PI) (- x (PI))) (- x (PI)) (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (sin (- (PI) (fabs x))) (- (PI) (fabs x)) (fabs x) (sin (+ (PI) (fabs x))) (+ (PI) (fabs x)) (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps))
10.0ms
eps
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (+ eps (PI)) (PI) x (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (* -1/6 (pow eps 2)) -1/6 (pow eps 2) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (sin (+ x eps)) (+ x eps) (sin (neg (- (PI) (- x (PI))))) (neg (- (PI) (- x (PI)))) (- (PI) (- x (PI))) (- x (PI)) (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (sin (- (PI) (fabs x))) (- (PI) (fabs x)) (fabs x) (sin (+ (PI) (fabs x))) (+ (PI) (fabs x)) (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps))
9.0ms
eps
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (+ eps (PI)) (PI) x (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (* -1/6 (pow eps 2)) -1/6 (pow eps 2) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (sin (+ x eps)) (+ x eps) (sin (neg (- (PI) (- x (PI))))) (neg (- (PI) (- x (PI)))) (- (PI) (- x (PI))) (- x (PI)) (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (sin (- (PI) (fabs x))) (- (PI) (fabs x)) (fabs x) (sin (+ (PI) (fabs x))) (+ (PI) (fabs x)) (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps))
6.0ms
x
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (+ eps (PI)) (PI) x (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (* -1/6 (pow eps 2)) -1/6 (pow eps 2) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (sin (+ x eps)) (+ x eps) (sin (neg (- (PI) (- x (PI))))) (neg (- (PI) (- x (PI)))) (- (PI) (- x (PI))) (- x (PI)) (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (sin (- (PI) (fabs x))) (- (PI) (fabs x)) (fabs x) (sin (+ (PI) (fabs x))) (+ (PI) (fabs x)) (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps))
6.0ms
x
@0
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (+ eps (PI)) (PI) x (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (* -1/6 (pow eps 2)) -1/6 (pow eps 2) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (- (sin (+ x eps)) (sin (neg (- (PI) (- x (PI)))))) (sin (+ x eps)) (+ x eps) (sin (neg (- (PI) (- x (PI))))) (neg (- (PI) (- x (PI)))) (- (PI) (- x (PI))) (- x (PI)) (* (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (* (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) 2) (sin (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2)) (/ (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) 2) (- eps (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2)) (/ (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) 2) (+ (sin (- (PI) (fabs x))) (sin (+ (PI) (fabs x)))) (sin (- (PI) (fabs x))) (- (PI) (fabs x)) (fabs x) (sin (+ (PI) (fabs x))) (+ (PI) (fabs x)) (cos (/ (+ (* 2 x) eps) 2)) (/ (+ (* 2 x) eps) 2) (+ (* 2 x) eps))

rewrite1.0s (7.9%)

Memory
34.7MiB live, 707.9MiB allocated; 268ms collecting garbage
Counts
48 → 585
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))
(+.f64 eps (PI.f64))
(PI.f64)
x
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(sin.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)
(sin.f64 x)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))))
(neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))
(-.f64 (PI.f64) (-.f64 x (PI.f64)))
(-.f64 x (PI.f64))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))
(+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x))))
(sin.f64 (-.f64 (PI.f64) (fabs.f64 x)))
(-.f64 (PI.f64) (fabs.f64 x))
(fabs.f64 x)
(sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))
(+.f64 (PI.f64) (fabs.f64 x))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
Outputs
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x))))
(fma.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x))))
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(+.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 #s(literal 0 binary64))))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) eps)
(*.f64 eps (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (neg.f64 #s(literal 0 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 eps #s(literal 2 binary64))
(/.f64 (neg.f64 eps) (neg.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps eps) (*.f64 #s(literal 2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 eps (neg.f64 (neg.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 eps) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) eps (neg.f64 #s(literal 0 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) eps (/.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(neg.f64 (/.f64 eps (neg.f64 #s(literal 2 binary64))))
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(+.f64 (neg.f64 #s(literal 0 binary64)) eps)
(+.f64 eps (neg.f64 #s(literal 0 binary64)))
(+.f64 eps (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 eps (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(+.f64 eps (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 eps (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 eps (neg.f64 (neg.f64 #s(literal 0 binary64))))
(-.f64 eps (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 eps #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) eps (neg.f64 #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 eps #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) eps (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) eps (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(neg.f64 (neg.f64 eps))
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(+.f64 (neg.f64 #s(literal 0 binary64)) eps)
(+.f64 eps (neg.f64 #s(literal 0 binary64)))
(+.f64 eps (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 eps (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(+.f64 eps (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 eps (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 eps (neg.f64 (neg.f64 #s(literal 0 binary64))))
(-.f64 eps (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 eps #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) eps (neg.f64 #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 eps #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) eps (-.f64 (neg.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) eps (+.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 0 binary64))))
(neg.f64 (neg.f64 eps))
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(literal 0 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (PI.f64))
(sinh.f64 #s(literal 0 binary64))
(tanh.f64 #s(literal 0 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
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(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (PI.f64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x))))
(cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))
(cos.f64 (neg.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x))
(sin.f64 (+.f64 (fabs.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
(+.f64 x (/.f64 eps #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(-.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (neg.f64 (/.f64 eps #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(-.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (+.f64 eps eps)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 (neg.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) eps) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)) (neg.f64 eps)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 x x) (neg.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 eps))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 x x) (neg.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) eps (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 #s(literal 0 binary64)))
(+.f64 x (+.f64 x eps))
(+.f64 eps (+.f64 x x))
(+.f64 eps (+.f64 (neg.f64 #s(literal 0 binary64)) (+.f64 x x)))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 (+.f64 x eps) (neg.f64 x))
(-.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))
(-.f64 x (-.f64 (neg.f64 eps) x))
(-.f64 eps (neg.f64 (+.f64 x x)))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 eps (*.f64 (neg.f64 #s(literal 2 binary64)) x))
(-.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) eps (+.f64 x x))
(fma.f64 eps #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) eps (+.f64 (neg.f64 #s(literal 0 binary64)) (+.f64 x x)))
(neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)))

eval128.0ms (1%)

Memory
12.2MiB live, 107.3MiB allocated; 21ms collecting garbage
Compiler

Compiled 9 034 to 3 662 computations (59.5% saved)

prune25.0ms (0.2%)

Memory
-17.6MiB live, 29.5MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New6889697
Fresh01111
Picked415
Done022
Total69223715
Accuracy
100.0%
Counts
715 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
5.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
5.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
5.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x (+.f64 (PI.f64) (PI.f64)))))
64.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.1%
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
62.8%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
61.9%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
5.5%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
7.8%
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
5.3%
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx (/ (+ (* 2 x) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
99.8%
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
99.3%
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
99.2%
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
98.8%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
98.3%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.4%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
5.3%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
98.3%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
99.8%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
98.3%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
Compiler

Compiled 685 to 655 computations (4.4% saved)

series423.0ms (3.2%)

Memory
42.0MiB live, 132.3MiB allocated; 34ms collecting garbage
Counts
40 → 133
Calls
Call 1
Inputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(literal 2 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
x
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))
(+.f64 eps (PI.f64))
(PI.f64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64))))
(*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))
#s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))
#s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
(sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
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#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
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#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (- (* 1/2 (PI)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (* 1/2 (PI)) x) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (- (* 1/2 (PI)) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* 1/2 (PI)) x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* 1/2 (PI)) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* 1/2 (+ eps (PI))) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ eps (PI)) (PI.f64))
#s(approx (+ eps (PI)) (+.f64 eps (PI.f64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (+ 1 (* -1/24 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/24 (pow eps 2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (sin (* 1/2 eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (* 1/2 (+ eps (PI))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)))))
#s(approx (+ eps (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (+ 1 (* -1/24 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (+ x (* 1/2 (+ eps (PI))))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ eps (PI))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ eps (PI)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI))))))) 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps (sin (+ x (* 1/2 (+ eps (PI))))) (+ x (* 1/2 (+ eps (PI)))) x (* 1/2 (+ eps (PI))) (+ eps (PI)) (PI) (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (* eps (+ 1 (* -1/24 (pow eps 2)))) (+ 1 (* -1/24 (pow eps 2))) (* -1/24 (pow eps 2)) -1/24 (pow eps 2) (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (cos (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)))
4.0ms
eps
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI))))))) 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps (sin (+ x (* 1/2 (+ eps (PI))))) (+ x (* 1/2 (+ eps (PI)))) x (* 1/2 (+ eps (PI))) (+ eps (PI)) (PI) (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (* eps (+ 1 (* -1/24 (pow eps 2)))) (+ 1 (* -1/24 (pow eps 2))) (* -1/24 (pow eps 2)) -1/24 (pow eps 2) (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (cos (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)))
3.0ms
eps
@0
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI))))))) 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps (sin (+ x (* 1/2 (+ eps (PI))))) (+ x (* 1/2 (+ eps (PI)))) x (* 1/2 (+ eps (PI))) (+ eps (PI)) (PI) (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (* eps (+ 1 (* -1/24 (pow eps 2)))) (+ 1 (* -1/24 (pow eps 2))) (* -1/24 (pow eps 2)) -1/24 (pow eps 2) (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (cos (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)))
3.0ms
x
@-inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI))))))) 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps (sin (+ x (* 1/2 (+ eps (PI))))) (+ x (* 1/2 (+ eps (PI)))) x (* 1/2 (+ eps (PI))) (+ eps (PI)) (PI) (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (* eps (+ 1 (* -1/24 (pow eps 2)))) (+ 1 (* -1/24 (pow eps 2))) (* -1/24 (pow eps 2)) -1/24 (pow eps 2) (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (cos (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)))
2.0ms
x
@inf
((* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI))))))) 2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 (+ eps (PI)))))) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps (sin (+ x (* 1/2 (+ eps (PI))))) (+ x (* 1/2 (+ eps (PI)))) x (* 1/2 (+ eps (PI))) (+ eps (PI)) (PI) (- (sin (+ x eps)) (sin x)) (sin eps) (* eps (+ 1 (* -1/6 (pow eps 2)))) (+ 1 (* -1/6 (pow eps 2))) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (* (sin (/ (- eps 0) 2)) 2) (* eps (+ 1 (* -1/24 (pow eps 2)))) (+ 1 (* -1/24 (pow eps 2))) (* -1/24 (pow eps 2)) -1/24 (pow eps 2) (sin (+ (/ (+ eps (PI)) 2) x)) (+ (/ (+ eps (PI)) 2) x) (/ (+ eps (PI)) 2) (- (sin (+ x eps)) (cos (+ (neg x) (/ (PI) 2)))) (cos (+ (neg x) (/ (PI) 2))) (cos (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)))

rewrite844.0ms (6.5%)

Memory
-45.0MiB live, 212.2MiB allocated; 145ms collecting garbage
Counts
40 → 340
Calls
Call 1
Inputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(literal 2 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
x
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))
(+.f64 eps (PI.f64))
(PI.f64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64))))
(*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))
#s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))
#s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
#s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
(sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
Outputs
#s(approx (* (* (sin (/ eps 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
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(neg.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) eps) #s(literal 2 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (neg (sin (neg x))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (neg (sin (neg x))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(cos.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(cos.f64 (fabs.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(cos.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(fma.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))

eval76.0ms (0.6%)

Memory
6.6MiB live, 96.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 698 to 3 001 computations (55.2% saved)

prune24.0ms (0.2%)

Memory
38.1MiB live, 38.1MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New6274631
Fresh21315
Picked235
Done033
Total63123654
Accuracy
100.0%
Counts
654 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
5.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
5.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
5.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x (+.f64 (PI.f64) (PI.f64)))))
64.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.1%
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
62.8%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
61.9%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
5.5%
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
7.8%
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
5.3%
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx (/ (+ (* 2 x) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
99.8%
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
99.3%
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
48.4%
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps #s(approx (+ 1 (* -1/24 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
98.8%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
98.3%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.4%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
97.5%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
5.3%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
99.8%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
98.3%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
98.8%
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
Compiler

Compiled 689 to 576 computations (16.4% saved)

regimes31.0ms (0.2%)

Memory
-12.4MiB live, 34.3MiB allocated; 3ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps #s(approx (+ 1 (* -1/24 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx (/ (+ (* 2 x) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (*.f64 (sin.f64 (/.f64 (-.f64 eps (/.f64 (+.f64 (sin.f64 (-.f64 (PI.f64) (fabs.f64 x))) (sin.f64 (+.f64 (PI.f64) (fabs.f64 x)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (cos (/ (+ (* 2 x) eps) 2))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
Calls

3 calls:

9.0ms
eps
9.0ms
x
9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.2%)

Memory
-24.1MiB live, 30.8MiB allocated; 5ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
Outputs
(*.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
Calls

3 calls:

11.0ms
x
7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
eps
Results
AccuracySegmentsBranch
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes23.0ms (0.2%)

Memory
-11.2MiB live, 34.2MiB allocated; 2ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (cos (+ (neg x) (/ (PI) 2))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
Outputs
(*.f64 #s(approx (* (sin (/ (- eps 0) 2)) 2) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64)) x)))
Calls

3 calls:

9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
99.3%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.3%1x
99.3%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
Calls

3 calls:

3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.8%1x
98.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) x)))
Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) 2) (sin (+ (/ (+ eps (PI)) 2) x))) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Calls

3 calls:

5.0ms
eps
5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
98.3%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.3%1x
98.3%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (*.f64 x #s(approx (+ 1 (* -1/6 (pow x 2))) #s(literal 1 binary64)))))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
Calls

3 calls:

3.0ms
x
3.0ms
eps
3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
98.3%1eps
98.3%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.3%1x
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
-36.1MiB live, 9.5MiB allocated; 4ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
Calls

3 calls:

6.0ms
eps
2.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
97.5%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
97.5%1x
97.5%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Accuracy

Total -59.0b remaining (-3637.5%)

Threshold costs -59b (-3637.5%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (*.f64 eps #s(approx (+ 1 (* -1/6 (pow eps 2))) #s(literal 1 binary64)))))
Calls

3 calls:

2.0ms
eps
2.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
97.5%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
97.5%1x
97.5%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 100 to 75 computations (25% saved)

preprocess89.0ms (0.7%)

Memory
16.8MiB live, 105.3MiB allocated; 30ms collecting garbage
Compiler

Compiled 143 to 114 computations (20.3% saved)

end0.0ms (0%)

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

Profiling

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