2cos (problem 3.3.5)

Time bar (total: 8.8s)

start0.0ms (0%)

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

analyze30.0ms (0.3%)

Memory
6.6MiB live, 54.5MiB allocated; 3ms 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)

sample6.6s (74.3%)

Memory
232.4MiB live, 6 882.6MiB allocated; 2.6s collecting garbage
Samples
3.1s5 776×2valid
2.0s25 823×0invalid
314.0ms2 414×1valid
7.0ms66×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-cos: 2.9s (67% of total)
adjust: 359.0ms (8.4% of total)
ival-add!: 282.0ms (6.6% of total)
ival-fabs: 246.0ms (5.8% of total)
ival-<: 194.0ms (4.5% of total)
ival-mult!: 139.0ms (3.2% of total)
ival-sub!: 118.0ms (2.8% of total)
ival-and: 61.0ms (1.4% of total)
ival-assert: 13.0ms (0.3% of total)
Bogosity

preprocess39.0ms (0.4%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02148
110648
265444
3375044
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
6 → 33
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

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

rewrite147.0ms (1.7%)

Memory
-31.0MiB live, 204.3MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145529
0150513
1880510
08196489
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 110
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))
(fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 eps x))))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))) (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 eps x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 x eps)
x
eps
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (*.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 eps (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (cos (+ x eps)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (neg.f64 eps)))

eval11.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 015 to 429 computations (78.7% saved)

prune8.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New939102
Fresh000
Picked011
Done000
Total9310103
Accuracy
99.8%
Counts
103 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
46.6%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
46.0%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.0%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
78.1%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
45.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
99.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
78.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
Compiler

Compiled 357 to 260 computations (27.2% saved)

series50.0ms (0.6%)

Memory
-37.1MiB live, 65.5MiB allocated; 24ms collecting garbage
Counts
46 → 185
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))))
#s(literal -2 binary64)
(sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))
(-.f64 x (-.f64 x eps))
(-.f64 x eps)
(sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
eps
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
7.0ms
x
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
6.0ms
x
@0
((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
5.0ms
x
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
5.0ms
eps
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))

rewrite191.0ms (2.2%)

Memory
35.3MiB live, 218.9MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08285130
08884959
149814959
080464747
Stop Event
iter-limit
node-limit
iter-limit
Counts
231 → 379
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))))
#s(literal -2 binary64)
(sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))
(-.f64 x (-.f64 x eps))
(-.f64 x eps)
(sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
Outputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))))
(fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
(fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 eps) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
(+.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
x
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)
(*.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) #s(literal 1/24 binary64)))
(-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (pow.f64 #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (pow.f64 #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 eps x))))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
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#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal -1/48 binary64) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/17280 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/576 binary64) eps)) (*.f64 #s(literal -1/48 binary64) eps)) (*.f64 x x) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x) eps))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (*.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps))) (*.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/6 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (/ (PI) 2) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) x)) x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) x (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
#s(approx (sin (/ (- x (- x eps)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- x (- x eps)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x eps) (neg.f64 eps))
#s(approx (- x eps) (-.f64 x eps))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/6 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (sin (+ (/ (PI) 2) x)) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ (/ (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x)))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))))
#s(approx (+ (/ (PI) 2) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 eps eps)) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/322560 binary64) (*.f64 eps eps)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (- x eps) (+.f64 (neg.f64 eps) x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (*.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))

eval55.0ms (0.6%)

Memory
-25.3MiB live, 107.0MiB allocated; 29ms collecting garbage
Compiler

Compiled 12 204 to 2 081 computations (82.9% saved)

prune13.0ms (0.1%)

Memory
35.8MiB live, 35.8MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New35112363
Fresh404
Picked415
Done101
Total36013373
Accuracy
100.0%
Counts
373 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
99.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
78.2%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
45.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
99.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
47.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
47.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
98.4%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
99.7%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
Compiler

Compiled 889 to 600 computations (32.5% saved)

series41.0ms (0.5%)

Memory
-44.0MiB live, 61.5MiB allocated; 19ms collecting garbage
Counts
38 → 140
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
(*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
(fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
(*.f64 eps x)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* -1 (* eps x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
((- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)))
8.0ms
x
@-inf
((- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)))
5.0ms
eps
@inf
((- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)))
4.0ms
x
@inf
((- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)))
3.0ms
eps
@0
((- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)))

rewrite212.0ms (2.4%)

Memory
36.1MiB live, 223.1MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06704959
07144838
142374838
080654590
Stop Event
iter-limit
node-limit
iter-limit
Counts
178 → 254
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
(*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
(fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
(*.f64 eps x)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* -1 (* eps x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)))))
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps)
(*.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 x) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
(*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)
(*.f64 eps #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 eps eps) eps))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal 1/24 binary64) eps))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
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#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (* eps eps) 1/24) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 eps eps) eps))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (* (* eps eps) 1/6) 1) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 eps eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (*.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 1/24 binary64))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 eps eps)))

eval73.0ms (0.8%)

Memory
-25.7MiB live, 63.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 13 558 to 1 679 computations (87.6% saved)

prune25.0ms (0.3%)

Memory
-8.1MiB live, 49.9MiB allocated; 10ms collecting garbage
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New27116287
Fresh347
Picked235
Done011
Total27624300
Accuracy
100.0%
Counts
300 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
99.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
98.9%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.1%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.1%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
78.2%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
98.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
98.1%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
41.8%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) eps))))
99.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
47.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
98.4%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
45.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
3.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
3.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
45.9%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
77.6%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
99.7%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
Compiler

Compiled 2 171 to 1 395 computations (35.7% saved)

series41.0ms (0.5%)

Memory
34.6MiB live, 78.6MiB allocated; 5ms collecting garbage
Counts
49 → 195
Calls
Call 1
Inputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))
(*.f64 (neg.f64 eps) x)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64))
(/.f64 x eps)
#s(literal 1/6 binary64)
#s(literal 1/24 binary64)
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (neg eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 1/24 (pow eps 4)) (* 1/6 (* (pow eps 3) x)))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (+ 1/24 (* 1/6 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (+ (* 1/6 (* (pow eps 3) x)) (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (- 1/24 (* 1/2 (/ 1 (pow eps 2))))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (- (+ 1/24 (* 1/6 (/ x eps))) (* 1/2 (/ 1 (pow eps 2))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow eps 4) x)) (* 1/6 (pow eps 3))))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (* 1/6 (/ x eps))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (* x (+ (* 1/6 (/ 1 eps)) (* 1/24 (/ 1 x))))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* x (+ (* 1/6 (pow eps 3)) (/ (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) x)))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 eps)) (* 1/24 (/ 1 x))) (/ 1/2 (* (pow eps 2) x))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))))) (/ 1 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -1/6 (pow eps 3)) (* -1/24 (/ (pow eps 4) x)))))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) x)) (* -1/6 (pow eps 3)))))))
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#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
eps
@0
((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (* 2 x) eps) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (neg eps) x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (+ (* (/ x eps) 1/6) 1/24) (/ x eps) 1/6 1/24 (* (* eps eps) (* eps eps)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (* (* eps eps) 1/6) 1 (* -1/2 eps) -1/2)
6.0ms
x
@-inf
((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (* 2 x) eps) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (neg eps) x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (+ (* (/ x eps) 1/6) 1/24) (/ x eps) 1/6 1/24 (* (* eps eps) (* eps eps)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (* (* eps eps) 1/6) 1 (* -1/2 eps) -1/2)
6.0ms
eps
@inf
((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (* 2 x) eps) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (neg eps) x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (+ (* (/ x eps) 1/6) 1/24) (/ x eps) 1/6 1/24 (* (* eps eps) (* eps eps)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (* (* eps eps) 1/6) 1 (* -1/2 eps) -1/2)
6.0ms
x
@inf
((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (* 2 x) eps) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (neg eps) x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (+ (* (/ x eps) 1/6) 1/24) (/ x eps) 1/6 1/24 (* (* eps eps) (* eps eps)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (* (* eps eps) 1/6) 1 (* -1/2 eps) -1/2)
6.0ms
eps
@-inf
((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (* 2 x) eps) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (neg eps) x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (+ (* (/ x eps) 1/6) 1/24) (/ x eps) 1/6 1/24 (* (* eps eps) (* eps eps)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (* (* eps eps) 1/6) 1 (* -1/2 eps) -1/2)

rewrite222.0ms (2.5%)

Memory
3.1MiB live, 229.6MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09517145
010046816
158446816
084996557
Stop Event
iter-limit
node-limit
iter-limit
Counts
244 → 387
Calls
Call 1
Inputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))
(*.f64 (neg.f64 eps) x)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64))
(/.f64 x eps)
#s(literal 1/6 binary64)
#s(literal 1/24 binary64)
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
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#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
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#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (+ 1/24 (* 1/6 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
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#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (+ (* 1/6 (* (pow eps 3) x)) (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))))))
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#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
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#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
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#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
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#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow eps 4) x)) (* 1/6 (pow eps 3))))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (* 1/6 (/ x eps))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (* x (+ (* 1/6 (/ 1 eps)) (* 1/24 (/ 1 x))))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* x (+ (* 1/6 (pow eps 3)) (/ (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) x)))))
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#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))))) (/ 1 (pow x 2))))))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
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#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -1/6 (pow eps 3)) (* -1/24 (/ (pow eps 4) x)))))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2))))) x)) (* -1/6 (pow eps 3)))))))
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#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)) x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/36 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 eps) (* -1/6 (/ (pow eps 2) x))) x)) (* -1/36 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1/4 (/ eps x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -1 eps)))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin x)))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))))
#s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 eps) (* 1/6 x)))))
#s(approx (+ (* (/ x eps) 1/6) 1/24) #s(hole binary64 (/ (+ (* 1/24 eps) (* 1/6 x)) eps)))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (* eps x)) 1/2))))
#s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) #s(hole binary64 (* (pow eps 2) (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (/ -1/2 (pow eps 2))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (/ (- (* 1/6 (* eps x)) 1/2) (pow eps 2))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (/ (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2) (pow eps 2))))
#s(approx (/ 1/2 (* eps eps)) #s(hole binary64 (/ 1/2 (pow eps 2))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1/36 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))
Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.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)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
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#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (fma.f64 (*.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 1/24 binary64)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 eps eps) eps))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/6 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/6 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal -1/36 binary64)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (*.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (*.f64 (fma.f64 #s(literal -1/36 binary64) x (fma.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) eps))) (*.f64 eps eps)))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (*.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1/36 binary64)) (*.f64 eps eps)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (* (+ (* 2 x) eps) 1/2)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
#s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/4 binary64) x)) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (*.f64 (fma.f64 #s(literal -1/36 binary64) x (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) eps))) (*.f64 eps eps)))

eval130.0ms (1.5%)

Memory
-12.6MiB live, 88.1MiB allocated; 17ms collecting garbage
Compiler

Compiled 25 651 to 2 486 computations (90.3% saved)

prune22.0ms (0.2%)

Memory
4.6MiB live, 48.6MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New37912391
Fresh8715
Picked415
Done134
Total39223415
Accuracy
100.0%
Counts
415 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
99.1%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
78.2%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
98.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
98.7%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
47.1%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
77.9%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
98.4%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
41.8%
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) eps))))
99.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
47.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
3.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
77.6%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
45.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
47.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
99.7%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
99.5%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))))
99.7%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
99.5%
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
Compiler

Compiled 1 196 to 769 computations (35.7% saved)

regimes389.0ms (4.4%)

Memory
-1.1MiB live, 660.5MiB allocated; 74ms collecting garbage
Accuracy

Total -19.5b remaining (-98%)

Threshold costs -19.5b (-98%)

Counts
2 → 1
9 → 1
10 → 1
16 → 1
28 → 1
29 → 1
35 → 1
42 → 1
46 → 1
49 → 1
50 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
Call 2
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
Call 3
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
Call 4
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
Outputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
Call 5
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
Outputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
Call 6
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
Outputs
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
Call 7
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
Call 8
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
Call 9
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))))
Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
Call 10
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) eps))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
Call 11
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (+ (* (/ x eps) 1/6) 1/24) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(approx (* (* (* eps eps) (* eps eps)) (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps)))) (*.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(approx (- (+ (* (/ x eps) 1/6) 1/24) (/ 1/2 (* eps eps))) (/.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(approx (+ (* (* eps x) (- (* (* eps eps) 1/6) 1)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) (*.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (neg.f64 eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
Calls

33 calls:

25.0ms
x
15.0ms
eps
14.0ms
eps
13.0ms
x
12.0ms
x
Results
AccuracySegmentsBranch
77.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
77.6%1eps
77.6%1x
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.2%1eps
98.2%1x
98.2%1eps
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.2%1x
98.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.7%1eps
98.7%1x
98.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.7%1eps
98.7%1x
99.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.1%1eps
99.1%1x
99.5%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%1eps
99.5%1x
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1eps
99.7%1x
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1eps
99.7%1x
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1eps
99.7%1x
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1eps
99.8%1x
Compiler

Compiled 2 391 to 492 computations (79.4% saved)

derivations456.0ms (5.2%)

Memory
-19.6MiB live, 451.4MiB allocated; 198ms collecting garbage
Stop Event
fuel
Compiler

Compiled 542 to 157 computations (71% saved)

preprocess111.0ms (1.3%)

Memory
47.6MiB live, 272.0MiB allocated; 69ms collecting garbage
Compiler

Compiled 579 to 188 computations (67.5% saved)

end0.0ms (0%)

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

Profiling

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