2cos (problem 3.3.5)

Time bar (total: 9.8s)

start0.0ms (0%)

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

analyze34.0ms (0.3%)

Memory
21.0MiB live, 67.0MiB allocated; 6ms 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)

sample8.0s (81.4%)

Memory
55.2MiB live, 8 343.9MiB allocated; 3.6s collecting garbage
Samples
3.2s5 768×2valid
2.4s26 294×0invalid
906.0ms2 442×1valid
5.0ms46×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.8s
ival-cos: 2.6s (53.6% of total)
ival-sub!: 719.0ms (15% of total)
ival-fabs: 476.0ms (10% of total)
adjust: 401.0ms (8.4% of total)
ival-mult!: 199.0ms (4.2% of total)
ival-add!: 174.0ms (3.6% of total)
ival-<: 173.0ms (3.6% of total)
ival-and: 61.0ms (1.3% of total)
ival-assert: 13.0ms (0.3% of total)
Bogosity

preprocess47.0ms (0.5%)

Memory
-19.6MiB live, 68.4MiB allocated; 17ms 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
53.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0%)

Memory
11.3MiB live, 11.3MiB 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
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
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))

rewrite163.0ms (1.7%)

Memory
36.6MiB live, 221.6MiB allocated; 36ms 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)))

eval28.0ms (0.3%)

Memory
-22.2MiB live, 24.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 015 to 429 computations (78.7% saved)

prune4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh000
Picked101
Done000
Total1003103
Accuracy
99.8%
Counts
103 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
99.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
81.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
Compiler

Compiled 44 to 34 computations (22.7% saved)

series19.0ms (0.2%)

Memory
-19.1MiB live, 32.4MiB allocated; 10ms collecting garbage
Counts
17 → 58
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
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))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#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)
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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#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)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (* -1 x))) (cos 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 (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
eps
@0
((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) eps (sin x) x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1)
3.0ms
x
@-inf
((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) eps (sin x) x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1)
2.0ms
eps
@inf
((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) eps (sin x) x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1)
2.0ms
eps
@-inf
((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) eps (sin x) x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1)
2.0ms
x
@0
((- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) eps (sin x) x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1)

rewrite171.0ms (1.7%)

Memory
17.8MiB live, 292.3MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881167
03061149
117411149
086591099
Stop Event
iter-limit
node-limit
iter-limit
Counts
75 → 111
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
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))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#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)
#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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#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)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (* -1 x))) (cos 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 (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal -1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps))
(neg.f64 (*.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
eps
(sin.f64 x)
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))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.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 #s(literal 2 binary64) x)))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.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 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.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 #s(literal 2 binary64) x))))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.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 (*.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 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.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 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.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 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(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 (neg.f64 x)))
(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)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.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 (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 (/.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 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.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 #s(literal 1 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/120 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (sin x) x)
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.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)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 eps (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx eps eps)
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (cos eps) 1) (*.f64 (-.f64 (*.f64 #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 #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 #s(literal 1/24 binary64) (*.f64 eps eps)) #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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))

eval10.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 651 to 553 computations (79.1% saved)

prune12.0ms (0.1%)

Memory
-26.9MiB live, 18.9MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New8614100
Fresh000
Picked123
Done000
Total8716103
Accuracy
100.0%
Counts
103 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
#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 (*.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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
81.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
80.9%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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))))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
Compiler

Compiled 810 to 548 computations (32.3% saved)

series22.0ms (0.2%)

Memory
38.2MiB live, 38.2MiB allocated; 0ms collecting garbage
Counts
47 → 109
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/1440 binary64) (*.f64 x x))
#s(literal 1/1440 binary64)
(*.f64 x x)
x
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#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)))
(-.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 eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
(*.f64 (neg.f64 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)))
#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))
(*.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)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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))))
(*.f64 (neg.f64 eps) #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 (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))
(*.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)
(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))
(-.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (* 1/1440 (* x x)) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx 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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* 1/1440 (pow x 6))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* 1/1440 (pow x 4))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 (* (pow x 2) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#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 (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (* eps eps) -1/2) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/2))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (- (* 1/1440 (* x x)) 1/48) (* 1/1440 (* x x)) 1/1440 (* x x) x 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (+ (* (* eps eps) -1/2) 1) (* eps eps) -1/2 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1/6 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040)
4.0ms
x
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (- (* 1/1440 (* x x)) 1/48) (* 1/1440 (* x x)) 1/1440 (* x x) x 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (+ (* (* eps eps) -1/2) 1) (* eps eps) -1/2 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1/6 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040)
2.0ms
x
@0
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (- (* 1/1440 (* x x)) 1/48) (* 1/1440 (* x x)) 1/1440 (* x x) x 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (+ (* (* eps eps) -1/2) 1) (* eps eps) -1/2 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1/6 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040)
2.0ms
eps
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (- (* 1/1440 (* x x)) 1/48) (* 1/1440 (* x x)) 1/1440 (* x x) x 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (+ (* (* eps eps) -1/2) 1) (* eps eps) -1/2 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1/6 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040)
2.0ms
eps
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (- (* 1/1440 (* x x)) 1/48) (* 1/1440 (* x x)) 1/1440 (* x x) x 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (+ (* (* eps eps) -1/2) 1) (* eps eps) -1/2 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1/6 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040)

rewrite209.0ms (2.1%)

Memory
-25.6MiB live, 322.3MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04472957
04962855
124512855
087752807
Stop Event
iter-limit
node-limit
iter-limit
Counts
156 → 352
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/1440 binary64) (*.f64 x x))
#s(literal 1/1440 binary64)
(*.f64 x x)
x
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#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)))
(-.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 eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
(*.f64 (neg.f64 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)))
#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))
(*.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)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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))))
(*.f64 (neg.f64 eps) #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 (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))
(*.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)
(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))
(-.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (* 1/1440 (* x x)) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx 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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* 1/1440 (pow x 6))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* 1/1440 (pow x 4))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(hole binary64 (* (pow x 2) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#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 (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (* eps eps) -1/2) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/2))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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)))))) (neg.f64 (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps)
(*.f64 eps #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) #s(literal 1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) #s(literal 1/2304 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) #s(literal 1/110592 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/110592 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))
(*.f64 (*.f64 #s(literal 1/1440 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/1440 binary64))
(*.f64 #s(literal 1/1440 binary64) (*.f64 x x))
#s(literal 1/1440 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) (neg.f64 eps))
(neg.f64 (*.f64 eps #s(approx (sin x) x)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
#s(approx (sin x) x)
#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)))
(/.f64 (neg.f64 (-.f64 (*.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (+.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #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 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.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 eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.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))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 eps))
(neg.f64 (*.f64 eps #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)) (neg.f64 eps))
(neg.f64 (*.f64 eps #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal 1/14400 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/1440 binary64) eps) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))))
#s(approx (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- (* 1/1440 (* x x)) 1/48) #s(literal -1/48 binary64))
#s(approx (- (* 1/1440 (* x x)) 1/48) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))
#s(approx (* 1/1440 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#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 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/120 binary64) eps) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/5040 binary64) eps) (*.f64 x x) (*.f64 #s(literal -1/120 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1440 binary64)))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
#s(approx (- (* (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64)))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/1440 (* x x)) 1/48) (*.f64 (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#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 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx eps eps)
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (cos eps) 1) (*.f64 (-.f64 (*.f64 #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 #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 #s(literal 1/24 binary64) (*.f64 eps eps)) #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 (* eps eps) (*.f64 eps eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (* (* eps eps) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))

eval50.0ms (0.5%)

Memory
-0.2MiB live, 99.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 16 041 to 2 537 computations (84.2% saved)

prune39.0ms (0.4%)

Memory
-9.6MiB live, 37.5MiB allocated; 1ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New3547361
Fresh369
Picked235
Done022
Total35918377
Accuracy
100.0%
Counts
377 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
#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 (*.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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
81.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
80.9%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
53.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
Compiler

Compiled 944 to 638 computations (32.4% saved)

series32.0ms (0.3%)

Memory
7.5MiB live, 54.1MiB allocated; 3ms collecting garbage
Counts
50 → 120
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))
(*.f64 (*.f64 x x) #s(literal 1/1440 binary64))
(*.f64 x x)
x
#s(literal 1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(neg.f64 eps)
#s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps))
(fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 eps x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* 1/4 x)))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* x (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (* (* x x) 1/1440) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx 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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* 1/4 (* (pow eps 2) x)) eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* 1/1440 (pow x 6))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* 1/1440 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* (pow x 5) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* (pow x 5) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* 1/1440 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 (* (pow x 2) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/1440)))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/1440 (/ 1/4 (pow x 4))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 eps)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (- (* (* x x) 1/1440) 1/48) (* (* x x) 1/1440) (* x x) x 1/1440 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4))
4.0ms
x
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (- (* (* x x) 1/1440) 1/48) (* (* x x) 1/1440) (* x x) x 1/1440 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4))
4.0ms
eps
@-inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (- (* (* x x) 1/1440) 1/48) (* (* x x) 1/1440) (* x x) x 1/1440 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4))
4.0ms
eps
@inf
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (- (* (* x x) 1/1440) 1/48) (* (* x x) 1/1440) (* x x) x 1/1440 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4))
3.0ms
eps
@0
((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (- (* (* x x) 1/1440) 1/48) (* (* x x) 1/1440) (* x x) x 1/1440 1/48 1/4 1/2 eps (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4))

rewrite353.0ms (3.6%)

Memory
10.7MiB live, 420.6MiB allocated; 196ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05143547
05633420
128303420
099153302
Stop Event
iter-limit
node-limit
iter-limit
Counts
170 → 357
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))
(*.f64 (*.f64 x x) #s(literal 1/1440 binary64))
(*.f64 x x)
x
#s(literal 1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(neg.f64 eps)
#s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps))
(fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 eps x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps)
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#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 (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* 1/4 x)))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* x (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (* (* x x) 1/1440) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx 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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* 1/4 (* (pow eps 2) x)) eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* 1/1440 (pow x 6))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/1440 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* 1/1440 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* (pow x 5) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* (pow x 5) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* 1/1440 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 4) (- (+ 1/1440 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(hole binary64 (* (pow x 2) (- 1/1440 (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/1440)))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/1440 (/ 1/4 (pow x 4))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 eps)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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)))))) (neg.f64 (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) 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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps)
(*.f64 eps #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 x (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) x))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) x))
(+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) #s(literal 1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) #s(literal 1/2304 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) #s(literal 1/110592 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/48 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2985984000 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/110592 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64))
(*.f64 (*.f64 x x) #s(literal 1/1440 binary64))
(*.f64 #s(literal 1/1440 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/1440 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(*.f64 eps #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.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)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (neg.f64 eps))
(neg.f64 (*.f64 eps #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x)) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) x) x))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))))
(-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))))))
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps)) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps)) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps)) (*.f64 (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 eps) (*.f64 eps eps) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64))) (-.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps)))
(/.f64 (fma.f64 (neg.f64 eps) (*.f64 eps eps) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))
(fma.f64 #s(literal -1 binary64) eps (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))
(fma.f64 eps #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) (neg.f64 eps))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))))
(-.f64 (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps)))
(+.f64 (/.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 eps eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))))) (/.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) (neg.f64 eps))
(+.f64 (neg.f64 eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps)
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) (pow.f64 (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps eps)) (*.f64 #s(literal -1/4 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 eps eps) eps)))) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) eps) x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) eps (*.f64 (*.f64 #s(literal 1/4 binary64) eps) eps))
(fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 1/4 binary64) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 eps (*.f64 #s(literal 1/4 binary64) eps) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) eps) (*.f64 (*.f64 #s(literal 1/4 binary64) eps) eps))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 eps x)
(*.f64 x eps)
#s(literal 1/6 binary64)
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal 1/4 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))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 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))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x)))))) (neg.f64 (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x)))) (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x))))) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x)))) (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps)) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x)))) (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #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) x)))) (*.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps)
(*.f64 eps #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/4 binary64) x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/1440 binary64))) (*.f64 #s(literal 1/4 binary64) eps)) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- (* (* x x) 1/1440) 1/48) #s(literal -1/48 binary64))
#s(approx (- (* (* x x) 1/1440) 1/48) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)))
#s(approx (* (* x x) 1/1440) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/120 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64)) eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) eps))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/1440 binary64)))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
#s(approx (- (* (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/1440 binary64)))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64)))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (+.f64 #s(literal 1/1440 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* (* x x) 1/1440) 1/48) (*.f64 (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps))) (/.f64 eps (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (*.f64 x x) (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (*.f64 x x)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x))
#s(approx (- (* (* x x) 1/4) 1/2) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/1440 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) x) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal -1/6 binary64) eps))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x)) x)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64) eps) x))) x)))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) x))) (*.f64 x x)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal -1/6 binary64) 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 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx eps eps)
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (*.f64 eps eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (*.f64 eps eps)))

eval78.0ms (0.8%)

Memory
-8.8MiB live, 91.9MiB allocated; 66ms collecting garbage
Compiler

Compiled 17 619 to 2 525 computations (85.7% saved)

prune19.0ms (0.2%)

Memory
1.2MiB live, 47.9MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New3435348
Fresh268
Picked145
Done055
Total34620366
Accuracy
100.0%
Counts
366 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
#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 (*.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 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #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))) eps))
99.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
81.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
80.9%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
53.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
80.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
53.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
Compiler

Compiled 1 611 to 685 computations (57.5% saved)

regimes21.0ms (0.2%)

Memory
0.5MiB live, 47.0MiB allocated; 2ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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)) (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)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.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)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
Calls

3 calls:

7.0ms
eps
7.0ms
x
6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory
-0.3MiB live, 50.6MiB allocated; 7ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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)) (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)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
Calls

3 calls:

8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.3%)

Memory
6.5MiB live, 43.9MiB allocated; 12ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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)) (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)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(approx (+ (* (- (* 1/1440 (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* (* x x) 1/1440) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1440 binary64))) x) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
Calls

3 calls:

16.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1x
99.7%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.3%)

Memory
9.3MiB live, 49.9MiB allocated; 18ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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)) (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)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #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))) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
Calls

3 calls:

19.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1x
99.7%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #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)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
Calls

3 calls:

5.0ms
eps
5.0ms
x
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%1x
99.5%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
Calls

3 calls:

3.0ms
x
3.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.3%1x
99.3%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
-38.3MiB live, 8.5MiB allocated; 5ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) #s(literal 1/6 binary64)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
Calls

3 calls:

5.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
99.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.1%1x
99.1%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Accuracy

Total -16.6b remaining (-134%)

Threshold costs -16.6b (-134%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
Calls

3 calls:

1.0ms
eps
1.0ms
x
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
80.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
80.7%1x
80.7%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations254.0ms (2.6%)

Memory
-8.3MiB live, 138.3MiB allocated; 28ms collecting garbage
Stop Event
fuel
Compiler

Compiled 227 to 81 computations (64.3% saved)

preprocess140.0ms (1.4%)

Memory
25.0MiB live, 120.2MiB allocated; 112ms collecting garbage
Compiler

Compiled 264 to 112 computations (57.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...