2cos (problem 3.3.5)

Time bar (total: 8.9s)

start0.0ms (0%)

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

analyze36.0ms (0.4%)

Memory
14.3MiB live, 104.6MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (73%)

Memory
146.5MiB live, 6 707.5MiB allocated; 2.6s collecting garbage
Samples
2.9s5 815×2valid
2.0s26 314×0invalid
396.0ms2 397×1valid
4.0ms44×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-cos: 2.8s (66.9% of total)
adjust: 435.0ms (10.6% of total)
ival-fabs: 349.0ms (8.5% of total)
ival-<: 145.0ms (3.5% of total)
ival-sub!: 125.0ms (3% of total)
ival-mult!: 121.0ms (2.9% of total)
ival-add!: 114.0ms (2.8% of total)
ival-and: 62.0ms (1.5% of total)
ival-assert: 12.0ms (0.3% of total)
Bogosity

preprocess32.0ms (0.4%)

Memory
-11.2MiB live, 35.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
114342
2185142
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141506
Stop Event
iter-limit
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)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.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) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

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

rewrite217.0ms (2.4%)

Memory
15.3MiB live, 251.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
17918
252818
3494118
0851318
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 251
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
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal -2 binary64)))) (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal -2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))) #s(literal 2 binary64)))))
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(-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (-.f64 (neg.f64 x) eps))
(cos.f64 (fabs.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(neg.f64 (neg.f64 (cos.f64 x)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))

eval31.0ms (0.4%)

Memory
-17.4MiB live, 34.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 431 to 1 229 computations (64.2% saved)

prune12.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New26911280
Fresh000
Picked011
Done000
Total26912281
Accuracy
99.8%
Counts
281 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
55.0%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.9%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
55.5%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64)))))
53.8%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
Compiler

Compiled 308 to 292 computations (5.2% saved)

series59.0ms (0.7%)

Memory
-17.2MiB live, 74.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06843594
Stop Event
iter-limit
Counts
36 → 157
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))
(PI.f64)
(+.f64 eps x)
(cos.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))
(+.f64 (PI.f64) x)
Outputs
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* 1/2 (+ (* 2 x) eps)) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* -1 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
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#s(approx (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) (+ (PI) x)) (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (+ (PI) x)) (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 x (PI.f64)))
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#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
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#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
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#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* 1/2 (PI)) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
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#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
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#s(approx (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x))))))
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#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))
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#s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))
#s(approx (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x)))
#s(approx (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (cos.f64 x)))
#s(approx (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (cos.f64 x)))
#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* 1/2 (PI)) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (-.f64 (cos.f64 x) (sin.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) (sin.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) (sin.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) (sin.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* 2 x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 1/2 (PI)) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (sin (+ (* 1/2 (PI)) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (* 1/2 (PI)) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
eps
@0
((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (sin x) (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (sin (+ (* 1/2 (PI)) (+ eps x))) (+ (* 1/2 (PI)) (+ eps x)) (PI) (+ eps x) (cos x) (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (cos (+ x eps)) (+ x eps) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI))) (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+ (* 1/2 (PI)) (+ (PI) x)) (+ (PI) x))
6.0ms
eps
@inf
((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (sin x) (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (sin (+ (* 1/2 (PI)) (+ eps x))) (+ (* 1/2 (PI)) (+ eps x)) (PI) (+ eps x) (cos x) (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (cos (+ x eps)) (+ x eps) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI))) (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+ (* 1/2 (PI)) (+ (PI) x)) (+ (PI) x))
4.0ms
x
@inf
((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (sin x) (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (sin (+ (* 1/2 (PI)) (+ eps x))) (+ (* 1/2 (PI)) (+ eps x)) (PI) (+ eps x) (cos x) (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (cos (+ x eps)) (+ x eps) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI))) (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+ (* 1/2 (PI)) (+ (PI) x)) (+ (PI) x))
4.0ms
x
@0
((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (sin x) (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (sin (+ (* 1/2 (PI)) (+ eps x))) (+ (* 1/2 (PI)) (+ eps x)) (PI) (+ eps x) (cos x) (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (cos (+ x eps)) (+ x eps) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI))) (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+ (* 1/2 (PI)) (+ (PI) x)) (+ (PI) x))
4.0ms
eps
@-inf
((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (sin x) (- (sin (+ (* 1/2 (PI)) (+ eps x))) (cos x)) (sin (+ (* 1/2 (PI)) (+ eps x))) (+ (* 1/2 (PI)) (+ eps x)) (PI) (+ eps x) (cos x) (- (cos (+ x eps)) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)))) (cos (+ x eps)) (+ x eps) (sin (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI))) (+ (+ (* 1/2 (PI)) (+ (PI) x)) (PI)) (+ (* 1/2 (PI)) (+ (PI) x)) (+ (PI) x))

rewrite243.0ms (2.7%)

Memory
16.4MiB live, 346.5MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040189
068175
1370157
21899157
09052155
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 953
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))
(PI.f64)
(+.f64 eps x)
(cos.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))
(+.f64 (PI.f64) x)
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal -2 binary64))) #s(literal -2 binary64))
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#s(literal -2 binary64)
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (cos.f64 eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) (cos.f64 eps))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (PI.f64)) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (PI.f64)) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (PI.f64)) (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (PI.f64)) (neg.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (PI.f64)) (fabs.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (PI.f64)) (fabs.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (PI.f64)) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (PI.f64)) eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (PI.f64)) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (PI.f64)) (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (neg.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (PI.f64)) (fabs.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (fabs.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (PI.f64)) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (fabs.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (PI.f64) (fabs.f64 eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (PI.f64) eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 eps)) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 eps) (fabs.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 eps) (fabs.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 eps) (neg.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 eps) (neg.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 eps) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 eps) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 eps) (fabs.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 eps) (fabs.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 eps) (neg.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 eps) (neg.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 eps) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 eps) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 eps (fabs.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 eps (fabs.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 eps (neg.f64 (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 eps (neg.f64 (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 eps (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 eps (PI.f64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (cos.f64 eps) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (cos.f64 eps) (cos.f64 eps) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (fma.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64))))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
(fma.f64 (sin.f64 (fabs.f64 eps)) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (*.f64 (sin.f64 eps) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) (sin.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 eps)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 eps)) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 eps))))
(cos.f64 (*.f64 #s(literal 1 binary64) eps))
(cos.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 (fabs.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 (fabs.f64 eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 eps)) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64)))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) eps)
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) eps)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sin.f64 x) eps))
#s(literal -1 binary64)
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(neg.f64 (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) eps (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) eps (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 eps (sin.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 x) eps) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 eps) x) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 eps) x) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
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(-.f64 (PI.f64) (neg.f64 x))
(-.f64 x (neg.f64 (PI.f64)))
(+.f64 (PI.f64) (neg.f64 (neg.f64 x)))
(+.f64 (PI.f64) x)
(+.f64 x (PI.f64))

eval123.0ms (1.4%)

Memory
8.1MiB live, 150.0MiB allocated; 19ms collecting garbage
Compiler

Compiled 11 035 to 4 441 computations (59.8% saved)

prune31.0ms (0.4%)

Memory
-20.2MiB live, 73.4MiB allocated; 6ms collecting garbage
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New82318841
Fresh246
Picked415
Done011
Total82924853
Accuracy
100.0%
Counts
853 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.9%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
99.8%
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 #s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
98.1%
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
97.8%
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
80.7%
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
53.8%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
79.9%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
Compiler

Compiled 850 to 804 computations (5.4% saved)

series75.0ms (0.8%)

Memory
20.3MiB live, 112.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07504491
Stop Event
iter-limit
Counts
44 → 155
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(literal -1 binary64)
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))))
(/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
(-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
(+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
Outputs
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (cos (* 1 x)) #s(literal 1 binary64))
#s(approx (cos (* 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos (* 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos (* 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* 1 x) x)
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/120 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (sin (* 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin (* 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin (* 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* -1 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
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#s(approx (+ x eps) eps)
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#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (+.f64 (sin.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (* (cos (* eps 1/2)) (sin (* 1 x))) (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 #s(literal 1/384 binary64) (sin.f64 x))))))))
#s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))))
#s(approx (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/4 binary64) (cos.f64 x)))))))
#s(approx (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/12 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))))
#s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))
#s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))
#s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/12 binary64) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (sin.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))
#s(approx (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (cos (* eps 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (+ (* x 2) eps) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* x 2) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ (+ (* x 2) eps) eps) (*.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (* (+ (* x 2) eps) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* x 2) eps) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x 2) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) eps)))))))
#s(approx (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) eps)))))))
#s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) eps)))))))
#s(approx (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (-.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) eps))))))
#s(approx (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) eps)))))
#s(approx (+ (+ (* x 2) eps) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 2 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
eps
@inf
((* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* eps 1/2)) (* eps 1/2) eps 1/2 (cos (* 1 x)) (* 1 x) 1 x (* (cos (* eps 1/2)) (sin (* 1 x))) (cos (* eps 1/2)) (sin (* 1 x)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (sin (* (+ (* x 2) eps) 1/2)) (* (+ (* x 2) eps) 1/2) (+ (* x 2) eps) 2 (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (cos (* 1/2 (- (+ (* x 2) eps) eps))) (* 1/2 (- (+ (* x 2) eps) eps)) (- (+ (* x 2) eps) eps) (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (* 1/2 (+ (+ (* x 2) eps) eps)) (+ (+ (* x 2) eps) eps))
10.0ms
eps
@-inf
((* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* eps 1/2)) (* eps 1/2) eps 1/2 (cos (* 1 x)) (* 1 x) 1 x (* (cos (* eps 1/2)) (sin (* 1 x))) (cos (* eps 1/2)) (sin (* 1 x)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (sin (* (+ (* x 2) eps) 1/2)) (* (+ (* x 2) eps) 1/2) (+ (* x 2) eps) 2 (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (cos (* 1/2 (- (+ (* x 2) eps) eps))) (* 1/2 (- (+ (* x 2) eps) eps)) (- (+ (* x 2) eps) eps) (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (* 1/2 (+ (+ (* x 2) eps) eps)) (+ (+ (* x 2) eps) eps))
5.0ms
x
@inf
((* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* eps 1/2)) (* eps 1/2) eps 1/2 (cos (* 1 x)) (* 1 x) 1 x (* (cos (* eps 1/2)) (sin (* 1 x))) (cos (* eps 1/2)) (sin (* 1 x)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (sin (* (+ (* x 2) eps) 1/2)) (* (+ (* x 2) eps) 1/2) (+ (* x 2) eps) 2 (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (cos (* 1/2 (- (+ (* x 2) eps) eps))) (* 1/2 (- (+ (* x 2) eps) eps)) (- (+ (* x 2) eps) eps) (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (* 1/2 (+ (+ (* x 2) eps) eps)) (+ (+ (* x 2) eps) eps))
5.0ms
x
@-inf
((* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* eps 1/2)) (* eps 1/2) eps 1/2 (cos (* 1 x)) (* 1 x) 1 x (* (cos (* eps 1/2)) (sin (* 1 x))) (cos (* eps 1/2)) (sin (* 1 x)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (sin (* (+ (* x 2) eps) 1/2)) (* (+ (* x 2) eps) 1/2) (+ (* x 2) eps) 2 (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (cos (* 1/2 (- (+ (* x 2) eps) eps))) (* 1/2 (- (+ (* x 2) eps) eps)) (- (+ (* x 2) eps) eps) (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (* 1/2 (+ (+ (* x 2) eps) eps)) (+ (+ (* x 2) eps) eps))
4.0ms
x
@0
((* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* eps 1/2)) (* eps 1/2) eps 1/2 (cos (* 1 x)) (* 1 x) 1 x (* (cos (* eps 1/2)) (sin (* 1 x))) (cos (* eps 1/2)) (sin (* 1 x)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (* x 2) eps) 1/2)) (sin (* eps 1/2))) (sin (* (+ (* x 2) eps) 1/2)) (* (+ (* x 2) eps) 1/2) (+ (* x 2) eps) 2 (* (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) -2) (/ 1 (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))))) (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps)))) (cos (* 1/2 (- (+ (* x 2) eps) eps))) (* 1/2 (- (+ (* x 2) eps) eps)) (- (+ (* x 2) eps) eps) (cos (* 1/2 (+ (+ (* x 2) eps) eps))) (* 1/2 (+ (+ (* x 2) eps) eps)) (+ (+ (* x 2) eps) eps))

rewrite328.0ms (3.7%)

Memory
-18.8MiB live, 419.1MiB allocated; 137ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050359
085281
1375276
22055272
08658263
Stop Event
iter-limit
node-limit
iter-limit
Counts
44 → 1 722
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(literal -1 binary64)
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))))
(/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
(-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
(+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(neg.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (-.f64 (cos.f64 (-.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 x)))) (-.f64 (cos.f64 (-.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (-.f64 (cos.f64 (-.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)) (cos.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 x)))) (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)) (cos.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)) (cos.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (+.f64 (sin.f64 (-.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 x (*.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 x)))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (+.f64 (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (+.f64 (PI.f64) eps) #s(literal 2 binary64))))) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))))
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(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (PI.f64)) (fabs.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (PI.f64)) (fabs.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 eps eps) (+.f64 eps eps))) (-.f64 (+.f64 x x) (+.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 #s(literal 0 binary64) (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (+.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 (+.f64 eps eps) (+.f64 eps eps)) (*.f64 (+.f64 x x) (+.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps eps)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))))
(neg.f64 (-.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps eps)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x) eps)
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (+.f64 eps eps))
(fma.f64 #s(literal 2 binary64) x (+.f64 eps eps))
(fma.f64 #s(literal 2 binary64) eps (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (+.f64 eps eps))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (+.f64 eps eps))
(-.f64 (+.f64 x x) (-.f64 (neg.f64 eps) eps))
(-.f64 (+.f64 x x) (+.f64 (neg.f64 eps) (neg.f64 eps)))
(-.f64 (+.f64 x x) (neg.f64 (+.f64 eps eps)))
(-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps))
(-.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(-.f64 eps (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (+.f64 eps eps) (+.f64 x x))
(+.f64 (+.f64 x x) (+.f64 eps eps))
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(+.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval209.0ms (2.3%)

Memory
15.9MiB live, 244.9MiB allocated; 52ms collecting garbage
Compiler

Compiled 25 120 to 8 399 computations (66.6% saved)

prune62.0ms (0.7%)

Memory
3.0MiB live, 50.0MiB allocated; 2ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 600151 615
Fresh9817
Picked415
Done022
Total1 613261 639
Accuracy
100.0%
Counts
1 639 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.9%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
88.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))) #s(literal -2 binary64))
79.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.7%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 #s(approx (* (+ (* x 2) eps) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 #s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
97.8%
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
80.7%
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
53.8%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
79.9%
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
Compiler

Compiled 938 to 888 computations (5.3% saved)

series75.0ms (0.8%)

Memory
-11.9MiB live, 88.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09895206
Stop Event
iter-limit
Counts
39 → 184
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 x)
x
(cos.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 x)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
(neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps)))
#s(approx (* eps (sin x)) (*.f64 x eps))
(*.f64 x eps)
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps))
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps)))
#s(literal 1 binary64)
(/.f64 x (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
Outputs
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (*.f64 x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1/120 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/24 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (neg (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps)))
#s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps)))
#s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps))) (*.f64 #s(literal -1/6 binary64) eps))) eps)))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* 1/2 (* eps (sin x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
#s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) eps (*.f64 #s(literal 1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) eps))))))))
#s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (+ (* 1/2 eps) x) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* 1/2 eps) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) eps)
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (/.f64 x (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ x (+ x eps)) (/.f64 x eps))
#s(approx (/ x (+ x eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ x (+ x eps)) (*.f64 x (fma.f64 x (-.f64 (/.f64 x (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ x (+ x eps)) (*.f64 x (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#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 (neg (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))))
#s(approx (* 1/2 (* eps (sin x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (+ (* 1/2 eps) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* 1/2 eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))))))
#s(approx (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))))))
#s(approx (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))))
#s(approx (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps)) x)))))
#s(approx (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
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#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))
#s(approx (+ 1 (/ x (+ x eps))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (/ x (+ x eps)) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))
#s(approx (/ x (+ x eps)) (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) eps))
#s(approx (/ x (+ x eps)) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (sin (+ (* 1/2 eps) x)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* 1/2 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps))) eps)) #s(literal 1/2 binary64)))))
#s(approx (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) eps))) eps)) #s(literal 1/2 binary64)))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (*.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ x (+ x eps))) (+ x eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) eps) (*.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1 binary64)))))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) eps))))
#s(approx (+ 1 (/ x (+ x eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (pow.f64 x #s(literal 2 binary64))) eps))) eps))))
#s(approx (/ x (+ x eps)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) eps)))
#s(approx (/ x (+ x eps)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (pow.f64 x #s(literal 2 binary64))) eps))) eps)))
#s(approx (/ x (+ x eps)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) eps)) (pow.f64 x #s(literal 2 binary64))) eps))) eps)))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* x eps) (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (* 1/2 (* eps (sin x))) (* eps (sin x)) (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (sin (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+ 1 (/ x (+ x eps))) 1 (/ x (+ x eps)) (+ x eps) (sin (* eps 1/2)) (* eps 1/2))
8.0ms
x
@-inf
((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* x eps) (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (* 1/2 (* eps (sin x))) (* eps (sin x)) (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (sin (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+ 1 (/ x (+ x eps))) 1 (/ x (+ x eps)) (+ x eps) (sin (* eps 1/2)) (* eps 1/2))
7.0ms
x
@inf
((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* x eps) (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (* 1/2 (* eps (sin x))) (* eps (sin x)) (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (sin (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+ 1 (/ x (+ x eps))) 1 (/ x (+ x eps)) (+ x eps) (sin (* eps 1/2)) (* eps 1/2))
6.0ms
eps
@inf
((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* x eps) (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (* 1/2 (* eps (sin x))) (* eps (sin x)) (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (sin (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+ 1 (/ x (+ x eps))) 1 (/ x (+ x eps)) (+ x eps) (sin (* eps 1/2)) (* eps 1/2))
5.0ms
x
@0
((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* x eps) (* (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (* 1/2 (* eps (sin x))) (* eps (sin x)) (* (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) -2) (* (sin (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) (sin (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (* (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (sin (* eps 1/2))) (sin (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2)) (* (* (+ 1 (/ x (+ x eps))) (+ x eps)) 1/2) (* (+ 1 (/ x (+ x eps))) (+ x eps)) (+ 1 (/ x (+ x eps))) 1 (/ x (+ x eps)) (+ x eps) (sin (* eps 1/2)) (* eps 1/2))

rewrite247.0ms (2.8%)

Memory
31.0MiB live, 270.8MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059346
090296
1370253
21934253
08434253
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 900
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 x)
x
(cos.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 x)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
(neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps)))
#s(approx (* eps (sin x)) (*.f64 x eps))
(*.f64 x eps)
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
#s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps))
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps)))
#s(literal 1 binary64)
(/.f64 x (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 eps x) x))) (+.f64 eps x))
(/.f64 (+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) (+.f64 eps x))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x) (neg.f64 x)) (-.f64 (neg.f64 eps) x))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 eps x)) (/.f64 x (+.f64 eps x))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (neg.f64 eps) x)) (/.f64 x (-.f64 (neg.f64 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (neg.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 x (+.f64 eps x)) (/.f64 x (+.f64 eps x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 eps) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 eps) x)) (/.f64 x (-.f64 (neg.f64 eps) x)) (/.f64 x (-.f64 (neg.f64 eps) x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 eps x) x)) (-.f64 (neg.f64 eps) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 eps x)) (/.f64 x (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x (+.f64 eps x)) (/.f64 x (+.f64 eps x))) (/.f64 x (+.f64 eps x)))))
(/.f64 (+.f64 (+.f64 eps x) x) (+.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 (+.f64 eps x) x)))
(neg.f64 (-.f64 (/.f64 x (-.f64 (neg.f64 eps) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))
(fma.f64 (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)))
(fma.f64 (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 x (+.f64 eps x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))
(fma.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)))
(fma.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64) (/.f64 x (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 x (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) x (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 x (+.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 eps x)) x x) (+.f64 eps x)) (/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64))) eps) (+.f64 eps x)))
(-.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 eps x)) x x) (+.f64 eps x)) (/.f64 (*.f64 (neg.f64 eps) (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64))) (+.f64 eps x)))
(-.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 eps x)) x x) (+.f64 eps x)) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps)) (+.f64 eps x)))
(-.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 x (-.f64 (neg.f64 eps) x)))
(-.f64 (/.f64 x (+.f64 eps x)) (/.f64 (-.f64 (neg.f64 eps) x) (+.f64 eps x)))
(-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (neg.f64 eps) x)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x)) (-.f64 (neg.f64 eps) x)) (/.f64 x (+.f64 eps x)))
(+.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 eps x)) x x) (+.f64 eps x)) (/.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps) (+.f64 eps x)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps) (+.f64 eps x)) (/.f64 (fma.f64 (/.f64 x (+.f64 eps x)) x x) (+.f64 eps x)))
(+.f64 (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (/.f64 eps (+.f64 eps x)) (/.f64 (+.f64 x x) (+.f64 eps x)))
(+.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (*.f64 (+.f64 eps x) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))
(+.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (*.f64 (/.f64 x (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x)))
(+.f64 (/.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 x (+.f64 eps x)))
(+.f64 (/.f64 x (+.f64 eps x)) (/.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x)))
#s(literal 1 binary64)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 eps x)))
(*.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 eps) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (+.f64 eps x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (-.f64 (neg.f64 eps) x))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 eps x))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x)))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 eps) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x))
(/.f64 x (+.f64 eps x))
(neg.f64 (/.f64 x (-.f64 (neg.f64 eps) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 eps x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 eps x) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (*.f64 x (*.f64 eps #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (+.f64 eps x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 eps (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 eps) x))
(fma.f64 (+.f64 eps x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(-.f64 (+.f64 eps x) #s(literal 0 binary64))
(-.f64 eps (-.f64 #s(literal 0 binary64) x))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 1 binary64) eps) x)
(+.f64 (+.f64 eps x) #s(literal 0 binary64))
(+.f64 eps (+.f64 #s(literal 0 binary64) x))
(+.f64 eps x)
(+.f64 x (*.f64 eps #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) eps))
(+.f64 x eps)
(neg.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(*.f64 (neg.f64 eps) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 eps))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(neg.f64 (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 eps) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))

eval124.0ms (1.4%)

Memory
5.6MiB live, 149.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 15 408 to 5 629 computations (63.5% saved)

prune72.0ms (0.8%)

Memory
-6.2MiB live, 39.8MiB allocated; 3ms collecting garbage
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New95413967
Fresh71118
Picked325
Done033
Total96429993
Accuracy
100.0%
Counts
993 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.9%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
88.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))) #s(literal -2 binary64))
79.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
99.7%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps (fma.f64 (/.f64 x (+.f64 eps x)) x x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) x (*.f64 (+.f64 (+.f64 eps x) x) eps)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) eps (*.f64 (+.f64 (+.f64 eps x) x) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) (*.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 eps) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
99.4%
(*.f64 (*.f64 #s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
97.8%
(*.f64 #s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
79.9%
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
80.1%
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
53.8%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
80.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
99.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
99.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
79.9%
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
54.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
80.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
Compiler

Compiled 1 224 to 896 computations (26.8% saved)

regimes48.0ms (0.5%)

Memory
-36.9MiB live, 62.1MiB allocated; 10ms collecting garbage
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #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 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* (+ (* x 2) eps) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 eps) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) (*.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps (fma.f64 (/.f64 x (+.f64 eps x)) x x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) eps (*.f64 (+.f64 (+.f64 eps x) x) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) x (*.f64 (+.f64 (+.f64 eps x) x) eps)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
Outputs
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
Calls

3 calls:

15.0ms
eps
14.0ms
x
10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
100.0%1x
100.0%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes40.0ms (0.4%)

Memory
10.7MiB live, 56.0MiB allocated; 3ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #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 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* (+ (* x 2) eps) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 eps) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) (*.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps (fma.f64 (/.f64 x (+.f64 eps x)) x x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) eps (*.f64 (+.f64 (+.f64 eps x) x) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) x (*.f64 (+.f64 (+.f64 eps x) x) eps)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
Calls

3 calls:

13.0ms
x
13.0ms
eps
12.0ms
(-.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 8 to 10 computations (-25% saved)

regimes41.0ms (0.5%)

Memory
-0.3MiB live, 43.0MiB allocated; 4ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #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 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* (+ (* x 2) eps) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 eps) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 #s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) (*.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x (+.f64 eps x)) #s(literal -1 binary64)) eps (fma.f64 (/.f64 x (+.f64 eps x)) x x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) eps (*.f64 (+.f64 (+.f64 eps x) x) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 eps x) x) x (*.f64 (+.f64 (+.f64 eps x) x) eps)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (+ (* 1/2 eps) x)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
Outputs
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
Calls

3 calls:

14.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
13.0ms
eps
13.0ms
x
Results
AccuracySegmentsBranch
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.7%1x
99.7%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #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 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* 1/2 (- eps 0))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* eps 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
Outputs
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
Calls

3 calls:

6.0ms
eps
6.0ms
x
4.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.4%1x
99.4%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.2%)

Memory
-22.5MiB live, 21.4MiB allocated; 7ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #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 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (- (cos (* 1/2 (- (+ (* x 2) eps) eps))) (cos (* 1/2 (+ (+ (* x 2) eps) eps))))) (/.f64 #s(literal 2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
Calls

3 calls:

10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
80.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
80.7%1x
80.7%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) #s(approx (* 1/2 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))
Calls

3 calls:

3.0ms
x
3.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
80.1%1x
80.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
80.1%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory
9.9MiB live, 9.8MiB allocated; 0ms collecting garbage
Accuracy

Total -16.1b remaining (-125.8%)

Threshold costs -16.1b (-125.8%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(approx (* (+ (* (sin (* eps 1/2)) (cos (* 1 x))) (* (cos (* eps 1/2)) (sin (* 1 x)))) (sin (* 1/2 (- eps 0)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps #s(approx (sin x) x)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
Calls

3 calls:

2.0ms
x
2.0ms
eps
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
79.9%1x
79.9%1eps
79.9%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations179.0ms (2%)

Memory
12.4MiB live, 152.5MiB allocated; 23ms collecting garbage
Stop Event
fuel
Compiler

Compiled 80 to 69 computations (13.8% saved)

preprocess64.0ms (0.7%)

Memory
-5.7MiB live, 106.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 114 to 100 computations (12.3% saved)

end0.0ms (0%)

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

Profiling

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