2tan (problem 3.3.2)

Time bar (total: 6.9s)

start0.0ms (0%)

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

analyze35.0ms (0.5%)

Memory
-10.9MiB live, 33.9MiB allocated; 10ms collecting garbage
Algorithm
1×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)

sample4.2s (60.7%)

Memory
216.5MiB live, 5 025.9MiB allocated; 1.2s collecting garbage
Samples
2.0s26 218×0invalid
688.0ms5 533×1valid
221.0ms2 723×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-tan: 616.0ms (35% of total)
ival-fabs: 317.0ms (18% of total)
adjust: 183.0ms (10.4% of total)
ival-add!: 176.0ms (10% of total)
ival-mult!: 144.0ms (8.2% of total)
ival-<: 140.0ms (7.9% of total)
ival-sub!: 108.0ms (6.1% of total)
ival-and: 65.0ms (3.7% of total)
ival-assert: 12.0ms (0.7% of total)
Bogosity

preprocess54.0ms (0.8%)

Memory
7.2MiB live, 47.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
18442
240042
3340742
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series28.0ms (0.4%)

Memory
-40.3MiB live, 13.7MiB allocated; 19ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
eps
@inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
x
@-inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
eps
@0
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
x
@0
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
eps
@-inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite201.0ms (2.9%)

Memory
43.6MiB live, 133.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961230
02011087
11575832
08165794
122879794
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
37 → 104
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (-.f64 (+.f64 eps x) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(fma.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(*.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (neg.f64 eps) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))
(neg.f64 (tan.f64 (-.f64 (neg.f64 eps) x)))
(tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
(tan.f64 (+.f64 eps x))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))) (-.f64 eps (*.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))) (-.f64 x (*.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 eps (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps (neg.f64 (neg.f64 x))))))
(/.f64 (fma.f64 (*.f64 x x) x (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 x (*.f64 #s(literal 1 binary64) eps)))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x (neg.f64 (neg.f64 eps))))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x (neg.f64 (neg.f64 eps))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 x (neg.f64 eps)))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps (neg.f64 x)))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (fma.f64 x x (*.f64 eps (neg.f64 x)))))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 eps (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(-.f64 eps (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 (*.f64 #s(literal 1 binary64) eps)))
(-.f64 x (neg.f64 (neg.f64 (neg.f64 eps))))
(-.f64 x (neg.f64 eps))
(+.f64 eps (*.f64 #s(literal 1 binary64) x))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x (*.f64 #s(literal 1 binary64) eps))
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps))) x (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps))) x #s(literal 1 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x))) (-.f64 #s(literal -1/6 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (tan.f64 x)))
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps))))

eval12.0ms (0.2%)

Memory
-30.4MiB live, 15.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 068 to 449 computations (58% saved)

prune6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New87996
Fresh000
Picked011
Done000
Total871097
Accuracy
99.9%
Counts
97 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.7%
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶7.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓62.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
61.7%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
7.3%
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
▶62.7%
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
98.4%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
▶99.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
▶99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
▶98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
Compiler

Compiled 230 to 216 computations (6.1% saved)

series63.0ms (0.9%)

Memory
-3.9MiB live, 48.7MiB allocated; 38ms collecting garbage
Counts
32 → 147
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
eps
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(sin.f64 x)
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 x (PI.f64)))
(+.f64 x (PI.f64))
(PI.f64)
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(sin.f64 (-.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin eps)))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (cos eps))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (pow (cos x) 2))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
eps
@0
((- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (* (+ 1 (pow (tan x) 2)) (sin x)) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)))
9.0ms
x
@-inf
((- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (* (+ 1 (pow (tan x) 2)) (sin x)) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)))
8.0ms
x
@0
((- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (* (+ 1 (pow (tan x) 2)) (sin x)) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)))
6.0ms
x
@inf
((- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (* (+ 1 (pow (tan x) 2)) (sin x)) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)))
6.0ms
eps
@-inf
((- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (* (+ 1 (pow (tan x) 2)) (sin x)) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)))

rewrite236.0ms (3.4%)

Memory
26.8MiB live, 163.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08155332
08564350
166774350
080564145
1218284145
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
179 → 347
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
eps
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(sin.f64 x)
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 x (PI.f64)))
(+.f64 x (PI.f64))
(PI.f64)
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(sin.f64 (-.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin eps)))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (cos eps))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (+ 1 (pow (tan x) 2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (pow (cos x) 2))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x)) eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps))
(*.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x)) eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
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(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (fabs.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
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#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64)))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)))
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#s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x)
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#s(approx (tan x) (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)))
#s(approx (tan x) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
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#s(approx (+ x (PI)) (PI.f64))
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#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (sin.f64 x)) (cos.f64 x)))) eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 eps) (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps) #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 x)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) eps (neg.f64 (*.f64 (cos.f64 x) (sin.f64 x)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (*.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps))) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (/.f64 (*.f64 (*.f64 (sin.f64 x) eps) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 x)))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (*.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps))) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (*.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)))) eps)))
#s(approx (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (*.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 (neg.f64 (neg.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (sin (- (+ eps x) x)) (sin.f64 (neg.f64 (neg.f64 eps))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x)))

eval42.0ms (0.6%)

Memory
6.0MiB live, 54.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 639 to 1 725 computations (62.8% saved)

prune18.0ms (0.3%)

Memory
-22.8MiB live, 22.8MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New29517312
Fresh314
Picked325
Done011
Total30121322
Accuracy
99.9%
Counts
322 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓62.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
61.7%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
8.5%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
25.1%
(*.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.7%
(*.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
▶99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
✓99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
▶98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
▶98.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
▶98.0%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
▶99.9%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.5%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
99.2%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
Compiler

Compiled 765 to 699 computations (8.6% saved)

series42.0ms (0.6%)

Memory
0.3MiB live, 46.0MiB allocated; 3ms collecting garbage
Counts
40 → 140
Calls
Call 1
Inputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin.f64 eps)
eps
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
x
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI)))))))) (* eps (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (/ (sin eps) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (sin eps) eps (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 2/15 1/3 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI))
6.0ms
eps
@0
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (sin eps) eps (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 2/15 1/3 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI))
5.0ms
x
@0
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (sin eps) eps (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 2/15 1/3 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI))
5.0ms
x
@-inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (sin eps) eps (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 2/15 1/3 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI))
5.0ms
eps
@-inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (sin eps) eps (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 2/15 1/3 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI))

rewrite788.0ms (11.4%)

Memory
-45.5MiB live, 161.9MiB allocated; 1.2s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07475474
07924838
157173685
085953529
1213173529
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
180 → 371
Calls
Call 1
Inputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin.f64 eps)
eps
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
x
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI)))))))) (* eps (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (PI) x) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (+ (PI) x) (PI))) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (/ (sin eps) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 eps)))
(sin.f64 eps)
eps
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#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (tan.f64 eps))) (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x)) (neg.f64 (tan.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 x (fma.f64 (neg.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (*.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) (cos.f64 eps)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (cos.f64 eps))))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (fma.f64 (*.f64 eps eps) x eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (fma.f64 (fma.f64 x eps (*.f64 eps eps)) x eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps #s(literal 4/3 binary64)) x) eps eps) x (*.f64 eps eps)) x eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 2/3 binary64) eps)) (*.f64 x x) eps) (*.f64 x x) eps))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 2/3 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* 17/315 (* x x)) 2/15) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (neg.f64 (neg.f64 eps)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 (*.f64 x eps) #s(literal 0 binary64)) #s(literal 2 binary64) (neg.f64 (neg.f64 eps))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x) eps (*.f64 (*.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) x (neg.f64 (neg.f64 eps))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (*.f64 eps (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))) x (*.f64 (*.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) x (neg.f64 (neg.f64 eps))))
#s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (tan x) 2)) (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (+.f64 (fma.f64 (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) #s(literal 0 binary64))
#s(approx (pow (tan x) 2) (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)))
#s(approx (pow (tan x) 2) (fma.f64 (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (pow (tan x) 2) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (tan x) #s(literal 0 binary64))
#s(approx (tan x) (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)))
#s(approx (tan x) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (tan x) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal -1/3 binary64) #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (+ (+ (PI) x) (PI)) (+.f64 (PI.f64) (PI.f64)))
#s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 (PI.f64) x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (*.f64 (+.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)) eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) eps))
#s(approx (+ 1 (pow (tan x) 2)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (tan x) (tan.f64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/315 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 17/315 (* x x)) 2/15) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))
#s(approx (+ (* 17/315 (* x x)) 2/15) (*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))) #s(literal 1 binary64)) eps))
#s(approx (+ 1 (pow (tan x) 2)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))
#s(approx (tan x) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)))
#s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (PI) x) (*.f64 (+.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (*.f64 x x))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -4 binary64)))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))) #s(literal 1 binary64)) eps))
#s(approx (+ 1 (pow (tan x) 2)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))))
#s(approx (tan x) (tan.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))
#s(approx (+ (+ (PI) x) (PI)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ (PI) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (cos.f64 x))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
#s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (sin.f64 x) (cos.f64 x)))) eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sin.f64 x) (cos.f64 x)))) eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1/6 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal 1/6 binary64)) (sin.f64 x)) (cos.f64 x))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) eps) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))) (cos.f64 x)))
#s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) (*.f64 (*.f64 eps eps) (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) eps))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (/ (sin eps) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

eval47.0ms (0.7%)

Memory
-30.4MiB live, 60.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 046 to 2 307 computations (54.3% saved)

prune19.0ms (0.3%)

Memory
29.6MiB live, 29.6MiB allocated; 0ms collecting garbage
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New33213345
Fresh21113
Picked325
Done123
Total33828366
Accuracy
100.0%
Counts
366 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓62.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
61.7%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
8.5%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
25.1%
(*.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
99.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
99.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
▶99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
▶99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
▶98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
✓98.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
6.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
✓98.0%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
▶98.3%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
99.9%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))))
▶100.0%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
98.4%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
99.7%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.5%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
Compiler

Compiled 1 123 to 1 018 computations (9.3% saved)

series53.0ms (0.8%)

Memory
7.4MiB live, 57.4MiB allocated; 7ms collecting garbage
Counts
50 → 179
Calls
Call 1
Inputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(sin.f64 eps)
eps
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
x
(cos.f64 eps)
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps)
(+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps)
(+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))))))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* -1/2 (* (pow x 2) (cos eps))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* 1/24 (* (pow x 2) (cos eps))))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos eps))) (* 1/24 (cos eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
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#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))) (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))))
#s(approx (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ x (* 2 (PI))))))))
#s(approx (cos (* 2 (+ (* (PI) 2) x))) #s(hole binary64 (cos (* 2 (+ x (* 2 (PI)))))))
#s(approx (* 2 (+ (* (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (+ (* (PI) 2) x)) #s(hole binary64 (* x (+ 2 (* 4 (/ (PI) x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (+ x (* 2 (PI)))))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) 2) (pow (cos (- (+ (PI) (* 2 (PI))) (* -1 x))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) 2) (pow (cos (- (+ (PI) (* 2 (PI))) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) 2) (pow (cos (- (+ (PI) (* 2 (PI))) (* -1 x))) 2))))
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) (cos (- (+ (PI) (* 2 (PI))) (* -1 x))))))
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x)))))) (+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x)))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x)))))))
#s(approx (cos (* 2 (+ (* (PI) 2) x))) #s(hole binary64 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))
#s(approx (* 2 (+ (* (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -4 (/ (PI) x)) 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (- (* 2 (PI)) (* -1 x))))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos x) (* -1/2 (* (pow eps 2) (cos x))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos x))) (* 1/24 (cos x)))))))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* eps (sin x))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))) (sin eps) eps (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (* (cos x) (cos eps)) (cos x) x (cos eps) (* (sin x) (sin eps)) (sin x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (cos (* 2 (+ (* (PI) 2) x))) (* 2 (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))))
9.0ms
x
@0
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))) (sin eps) eps (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (* (cos x) (cos eps)) (cos x) x (cos eps) (* (sin x) (sin eps)) (sin x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (cos (* 2 (+ (* (PI) 2) x))) (* 2 (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))))
8.0ms
x
@-inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))) (sin eps) eps (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (* (cos x) (cos eps)) (cos x) x (cos eps) (* (sin x) (sin eps)) (sin x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (cos (* 2 (+ (* (PI) 2) x))) (* 2 (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))))
6.0ms
eps
@0
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))) (sin eps) eps (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (* (cos x) (cos eps)) (cos x) x (cos eps) (* (sin x) (sin eps)) (sin x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (cos (* 2 (+ (* (PI) 2) x))) (* 2 (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))))
6.0ms
eps
@-inf
((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (sin eps) (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))) (sin eps) eps (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (* (cos x) (cos eps)) (cos x) x (cos eps) (* (sin x) (sin eps)) (sin x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (+ 1 (pow (tan x) 2)) eps) (+ 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (cos (* 2 (+ (* (PI) 2) x))) (* 2 (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))))

rewrite278.0ms (4%)

Memory
-16.1MiB live, 210.0MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09557706
010236554
174116554
080086251
1219266251
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
229 → 455
Calls
Call 1
Inputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(sin.f64 eps)
eps
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
x
(cos.f64 eps)
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps)
(+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps)
(+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))))))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* -1/2 (* (pow x 2) (cos eps))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* 1/24 (* (pow x 2) (cos eps))))))))
#s(approx (* (cos x) (cos eps)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos eps))) (* 1/24 (cos eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))))
#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))))))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI))))))))) (* eps (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))))))))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI)))))))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (+ (* 2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI)))))))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))))
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#s(approx (* (sin x) (sin eps)) #s(hole binary64 (* (sin eps) (sin x))))
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#s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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#s(approx (+ 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (+.f64 x eps)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 (+.f64 x eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 (neg.f64 (+.f64 x eps)))
(cos.f64 (fabs.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x))) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 eps))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 eps))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
x
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 eps))
(cos.f64 (fabs.f64 eps))
(cos.f64 eps)
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps))) (-.f64 eps (*.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x x) eps) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps)) (*.f64 eps (*.f64 (*.f64 x x) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) eps) eps))))
(fma.f64 (*.f64 x x) eps eps)
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (*.f64 (*.f64 x x) eps))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 x x) eps))
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 (*.f64 x x) eps))
(-.f64 (*.f64 (*.f64 x x) eps) (neg.f64 eps))
(-.f64 eps (*.f64 (neg.f64 eps) (*.f64 x x)))
(-.f64 eps (neg.f64 (*.f64 (*.f64 x x) eps)))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 x x) eps))
(+.f64 (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 x x) eps))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(+.f64 eps (*.f64 (*.f64 x x) eps))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
(*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps)
(*.f64 eps (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (*.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))
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#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sin x) (sin eps)) (*.f64 (sin.f64 eps) x))
#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sin.f64 eps) (sin.f64 eps)) x))
#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) #s(literal 1/120 binary64) (*.f64 (sin.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (sin.f64 eps)) x))
#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 eps) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 eps) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (sin.f64 eps))) (*.f64 x x))) (*.f64 x x) (sin.f64 eps)) x))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (sin.f64 eps)) (cos.f64 eps)))) x) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) eps)
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 17/45 binary64) (*.f64 #s(literal 2/3 binary64) eps)) (*.f64 x x) eps) (*.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(literal 17/45 binary64))
#s(approx (+ (* 62/315 (* x x)) 17/45) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (fma.f64 (*.f64 eps (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) x) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (fma.f64 (fma.f64 (*.f64 eps x) (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) eps) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 2 binary64))) x (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (* (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) eps) (fma.f64 (fma.f64 (*.f64 eps (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64))) x (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) eps) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 2 binary64))) x (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) x) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) x)) x (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64))) x (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64))) x (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) x) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))))
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#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64))) x (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))) #s(literal 2 binary64))) x (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64)))))
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (tan.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
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#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.f64) x))
#s(approx (+ (+ (PI) x) (PI)) (+.f64 (PI.f64) (PI.f64)))
#s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 (PI.f64) x))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) x (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (-.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) x #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (-.f64 (fma.f64 x (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) x) (neg.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (* (PI) 2) x))))) (-.f64 (fma.f64 x (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) x) #s(literal -2/3 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))))) x) (neg.f64 (sin.f64 (*.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ (* (PI) 2) x)))) (*.f64 (cos.f64 (*.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1/2 binary64)))
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#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal -1/6 binary64) (sin.f64 x)) eps))
#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 1/120 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (sin.f64 x)) eps))
#s(approx (* (sin x) (sin eps)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 eps eps))) (*.f64 eps eps) (sin.f64 x)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1/6 binary64))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) eps) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps))
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 (neg.f64 (neg.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (+ (* (* x x) eps) eps) (*.f64 (neg.f64 eps) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval57.0ms (0.8%)

Memory
33.8MiB live, 78.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 610 to 3 137 computations (63.6% saved)

prune29.0ms (0.4%)

Memory
-5.4MiB live, 40.8MiB allocated; 3ms collecting garbage
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New4209429
Fresh31619
Picked325
Done044
Total42631457
Accuracy
100.0%
Counts
457 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓62.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
61.7%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
8.5%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
25.1%
(*.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
99.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
99.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
99.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) eps))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
✓98.5%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
6.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
✓98.0%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
✓98.3%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
6.4%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
✓100.0%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
98.4%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
99.7%
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
Compiler

Compiled 1 240 to 914 computations (26.3% saved)

regimes40.0ms (0.6%)

Memory
-10.0MiB live, 41.1MiB allocated; 7ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
(*.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
Calls

3 calls:

14.0ms
x
11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms
eps
Results
AccuracySegmentsBranch
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%1x
100.0%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes36.0ms (0.5%)

Memory
-7.3MiB live, 38.5MiB allocated; 2ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
(*.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))))
Calls

3 calls:

12.0ms
x
11.0ms
eps
11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.9%1x
99.9%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.5%)

Memory
-10.5MiB live, 35.2MiB allocated; 3ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
Calls

3 calls:

11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
eps
9.0ms
x
Results
AccuracySegmentsBranch
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.9%1x
99.9%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.4%)

Memory
33.6MiB live, 33.6MiB allocated; 0ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 2 binary64) x)))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) eps))
Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
Calls

3 calls:

9.0ms
eps
9.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms
x
Results
AccuracySegmentsBranch
99.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.7%1x
99.7%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.4%)

Memory
-16.1MiB live, 29.7MiB allocated; 2ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 eps #s(approx (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x)) x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
Calls

3 calls:

9.0ms
x
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
eps
Results
AccuracySegmentsBranch
99.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.4%1x
99.4%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes17.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))) #s(literal 2 binary64))) eps))
Calls

3 calls:

5.0ms
eps
5.0ms
x
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%1x
99.2%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.3%)

Memory
-28.6MiB live, 20.2MiB allocated; 5ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
Calls

3 calls:

8.0ms
x
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%1x
99.2%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)) eps))
Calls

3 calls:

4.0ms
eps
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.6%1x
98.6%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
Calls

3 calls:

3.0ms
x
3.0ms
eps
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.6%1x
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
-33.5MiB live, 12.7MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) #s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
Calls

3 calls:

4.0ms
x
3.0ms
eps
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.5%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.5%1x
98.5%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ 1 (pow (tan x) 2)) (fma.f64 #s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
eps
Results
AccuracySegmentsBranch
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.3%1eps
98.3%1x
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) #s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (+ (+ (* eps (/ (* (+ 1 (pow (tan x) 2)) (sin x)) (cos x))) 1) (pow (tan x) 2)) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (+.f64 (*.f64 (*.f64 x x) eps) eps)))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ 1 (pow (tan x) 2)) eps) (fma.f64 (*.f64 x x) eps eps)))
Calls

3 calls:

2.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.3%1x
98.3%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Accuracy

Total -58.6b remaining (-4527.1%)

Threshold costs -58.6b (-4527.1%)

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

3 calls:

1.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
98.0%1eps
98.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.0%1x
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations362.0ms (5.2%)

Memory
-17.8MiB live, 210.1MiB allocated; 19ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 180 to 121 computations (32.8% saved)

preprocess105.0ms (1.5%)

Memory
36.9MiB live, 176.0MiB allocated; 33ms collecting garbage
Compiler

Compiled 214 to 151 computations (29.4% saved)

end0.0ms (0%)

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

Profiling

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