2tan (problem 3.3.2)

Time bar (total: 7.0s)

start0.0ms (0%)

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

analyze43.0ms (0.6%)

Memory
-10.7MiB live, 31.7MiB allocated; 24ms 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)

sample4.5s (63.9%)

Memory
28.9MiB live, 3 697.4MiB allocated; 1.8s collecting garbage
Samples
1.9s26 064×0invalid
700.0ms5 626×1valid
166.0ms2 630×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-tan: 603.0ms (37% of total)
ival-fabs: 277.0ms (17% of total)
adjust: 168.0ms (10.3% of total)
ival-add!: 147.0ms (9% of total)
ival-<: 131.0ms (8% of total)
ival-mult!: 125.0ms (7.7% of total)
ival-sub!: 111.0ms (6.8% of total)
ival-and: 58.0ms (3.6% of total)
ival-assert: 11.0ms (0.7% of total)
Bogosity

preprocess43.0ms (0.6%)

Memory
-16.2MiB live, 38.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
18842
239742
3242342
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Counts
6 → 36
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 (/ (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))
#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))
#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 (/ (sin x) (cos x))))
#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 eps #s(hole binary64 eps))
#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
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
eps
@inf
((- (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))

rewrite211.0ms (3%)

Memory
-4.3MiB live, 183.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011262
02061113
11507900
08116870
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
42 → 137
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 (/ (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))
#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))
#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 (/ (sin x) (cos x))))
#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 eps #s(hole binary64 eps))
#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 (+.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 (neg.f64 (+.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 (neg.f64 (+.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 (neg.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (cos.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.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 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
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x
eps
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(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
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#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 (-.f64 #s(literal 1 binary64) (neg.f64 (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) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))))))))) eps) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x)))
#s(approx eps eps)
#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 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval14.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 605 to 633 computations (60.6% saved)

prune11.0ms (0.2%)

Memory
-23.6MiB live, 21.1MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1209129
Fresh000
Picked011
Done000
Total12010130
Accuracy
100.0%
Counts
130 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
▶64.3%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
✓64.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.5%
(-.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)))
▶99.8%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
Compiler

Compiled 338 to 276 computations (18.3% saved)

series111.0ms (1.6%)

Memory
-12.5MiB live, 142.9MiB allocated; 22ms collecting garbage
Counts
49 → 268
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64))
(-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))))
(neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps))
(*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)
(+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
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))
#s(literal 1/6 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 (-.f64 #s(literal 1 binary64) (neg.f64 (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 (-.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 binary64) (neg.f64 (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 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(+.f64 (+.f64 x (PI.f64)) eps)
(+.f64 x (PI.f64))
(PI.f64)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- x (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* 4/3 (* eps x)))) (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 4/3 x) (* -4/3 eps))))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* 1/3 eps)))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* 4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* 17/9 (* eps (pow x 2))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* 248/135 (* eps (pow x 2))) (* -17/9 eps))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* -1/3 eps)))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -17/9 (* eps (pow x 2))) (* -4/3 eps))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -4/3 eps) (* (pow x 2) (+ (* -17/9 eps) (* -248/135 (* eps (pow x 2))))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 -1/2))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* -5/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/63 (pow x 2)) 77/45)) 5/3)) 1))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (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 (neg (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 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (PI)) eps)) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan 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 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* -1 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (/ (* (- 1 (neg (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 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) 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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (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 (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
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#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (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 (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
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#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
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#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
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#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
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#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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Calls

6 calls:

TimeVariablePointExpression
28.0ms
eps
@-inf
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17.0ms
eps
@0
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16.0ms
x
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15.0ms
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13.0ms
x
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rewrite190.0ms (2.7%)

Memory
2.9MiB live, 235.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126814748
0135312322
0818812136
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
317 → 459
Calls
Call 1
Inputs
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#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(+.f64 (+.f64 x (PI.f64)) eps)
(+.f64 x (PI.f64))
(PI.f64)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
#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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- x (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* 4/3 (* eps x)))) (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 4/3 x) (* -4/3 eps))))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* 1/3 eps)))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* 4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* 17/9 (* eps (pow x 2))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* 248/135 (* eps (pow x 2))) (* -17/9 eps))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* -1/3 eps)))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -17/9 (* eps (pow x 2))) (* -4/3 eps))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -4/3 eps) (* (pow x 2) (+ (* -17/9 eps) (* -248/135 (* eps (pow x 2))))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 -1/2))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* -5/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/63 (pow x 2)) 77/45)) 5/3)) 1))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (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 (neg (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 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (PI)) eps)) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan 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 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* -1 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (/ (* (- 1 (neg (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 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) 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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (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 (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (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 (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 eps))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
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#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
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#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* -1 (* (pow eps 2) (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
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#s(approx (tan x) x)
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#s(approx x x)
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#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) x)
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#s(approx (sin x) x)
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#s(approx (tan x) (tan.f64 x))
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#s(approx (* 1/2 (cos (* 2 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
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#s(approx (cos x) (cos.f64 x))
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#s(approx (+ (+ x (PI)) eps) x)
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#s(approx (+ x (PI)) x)
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#s(approx (tan eps) (tan.f64 eps))
#s(approx (+ (+ x (PI)) eps) eps)
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#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 eps (cos.f64 x)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (cos.f64 x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))) eps)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (*.f64 (*.f64 eps eps) (+.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (*.f64 (*.f64 eps eps) (+.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) eps)) eps)))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg.f64 (*.f64 eps (-.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 eps (cos.f64 x))))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (-.f64 (tan.f64 (+.f64 eps (+.f64 x (PI.f64)))) (tan.f64 x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan.f64 (+.f64 eps (+.f64 x (PI.f64)))))
#s(approx (+ (+ x (PI)) eps) (neg.f64 (*.f64 eps (-.f64 (neg.f64 (/.f64 (+.f64 x (PI.f64)) eps)) #s(literal 1 binary64)))))

eval82.0ms (1.2%)

Memory
31.6MiB live, 75.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 15 861 to 4 035 computations (74.6% saved)

prune31.0ms (0.4%)

Memory
-7.5MiB live, 37.0MiB allocated; 5ms collecting garbage
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New46018478
Fresh224
Picked235
Done011
Total46424488
Accuracy
100.0%
Counts
488 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
▶64.1%
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
7.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
✓4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
▶4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
✓64.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶99.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(literal 1 binary64))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
✓99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
99.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
✓98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
98.9%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
▶98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
▶98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
Compiler

Compiled 1 636 to 1 282 computations (21.6% saved)

series88.0ms (1.3%)

Memory
-7.2MiB live, 95.0MiB allocated; 11ms collecting garbage
Counts
62 → 308
Calls
Call 1
Inputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64))
(-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))))
(*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps)
(neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64)))
(+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
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))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))
eps
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)))))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))
(*.f64 eps eps)
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)))))
#s(literal 1/3 binary64)
(*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))
(-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))
#s(literal -17/315 binary64)
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 x eps) (PI.f64)))
(+.f64 (+.f64 x eps) (PI.f64))
(+.f64 x eps)
(PI.f64)
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))))))
(+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))))
#s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))
#s(literal -1/3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))
(*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan 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 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 1/3))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 -1/2))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 1))
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#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1/2)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
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#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
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#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
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#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (* 2 x))))))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (* -1/2 (cos (* 2 x)))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 x))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (* -1/2 (cos (neg (* -2 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) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx eps #s(hole binary64 eps))
#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))
#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 (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 eps))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 1))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))
#s(approx (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
#s(approx (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) #s(hole binary64 1/3))
#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) #s(hole binary64 (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
#s(approx (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) #s(hole binary64 (* 2/15 (pow eps 2))))
#s(approx (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(hole binary64 2/15))
#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(hole binary64 (+ 2/15 (* 17/315 (pow eps 2)))))
#s(approx (* -17/315 (* eps eps)) #s(hole binary64 (* -17/315 (pow eps 2))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 eps))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 1))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* -1/3 (* eps eps)) #s(hole binary64 (* -1/3 (pow eps 2))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
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#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
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#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (* 17/315 (pow eps 6))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
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#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* 1/3 (pow eps 2))))
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Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@inf
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20.0ms
eps
@-inf
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11.0ms
x
@-inf
((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) (- 1/2 (* 1/2 (cos (+ x x)))) 1/2 (* 1/2 (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) (- 1/2 (* -1/2 (cos (+ x x)))) (* -1/2 (cos (+ x x))) eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))) (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) (- 2/15 (* -17/315 (* eps eps))) 2/15 (* -17/315 (* eps eps)) -17/315 (- (tan (+ (+ x eps) (PI))) (tan x)) (tan (+ (+ x eps) (PI))) (+ (+ x eps) (PI)) (+ x eps) (PI) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (tan eps) (* eps (- 1 (* -1/3 (* eps eps)))) (- 1 (* -1/3 (* eps eps))) (* -1/3 (* eps eps)) -1/3 (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
10.0ms
eps
@inf
((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) (- 1/2 (* 1/2 (cos (+ x x)))) 1/2 (* 1/2 (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) (- 1/2 (* -1/2 (cos (+ x x)))) (* -1/2 (cos (+ x x))) eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))) (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) (- 2/15 (* -17/315 (* eps eps))) 2/15 (* -17/315 (* eps eps)) -17/315 (- (tan (+ (+ x eps) (PI))) (tan x)) (tan (+ (+ x eps) (PI))) (+ (+ x eps) (PI)) (+ x eps) (PI) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (tan eps) (* eps (- 1 (* -1/3 (* eps eps)))) (- 1 (* -1/3 (* eps eps))) (* -1/3 (* eps eps)) -1/3 (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
8.0ms
eps
@0
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rewrite192.0ms (2.7%)

Memory
31.1MiB live, 262.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131815232
0142113855
0825113654
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
370 → 528
Calls
Call 1
Inputs
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#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 -1/2))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 1))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (- (pow x 2) 1/2)))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1/2)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (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) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
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#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (* 2 x))))))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (* -1/2 (cos (* 2 x)))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 x))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))
#s(approx (* -1/2 (cos (+ x x))) #s(hole binary64 (* -1/2 (cos (neg (* -2 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) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx eps #s(hole binary64 eps))
#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)))))))
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#s(approx (tan eps) #s(hole binary64 eps))
#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))))))))
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#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 eps))
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#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
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#s(approx (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))))) #s(hole binary64 1))
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#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
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#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(hole binary64 (* 17/315 (pow eps 2))))
#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
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#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* -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))) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps)) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))))
#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 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x eps) (PI))) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ x eps) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64))))
(-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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#s(approx (tan x) x)
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#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 (*.f64 x x) (-.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 x x)))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 17/45 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) eps)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (tan.f64 eps) (/.f64 (*.f64 x (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64)))))
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#s(approx (tan (+ (+ x eps) (PI))) (tan.f64 eps))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))))) (neg.f64 (cos.f64 eps)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64)))))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (cos.f64 eps))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (+ (+ x eps) (PI)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ x eps) (PI)) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (tan (+ (+ x eps) (PI))) (tan.f64 eps))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.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))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (+ (tan x) (tan eps)) (tan.f64 eps))
#s(approx (+ (tan x) (tan eps)) (+.f64 x (tan.f64 eps)))
#s(approx (+ (tan x) (tan eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (tan.f64 eps)))
#s(approx (+ (tan x) (tan eps)) (fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) (tan.f64 eps)))
#s(approx (- 1 (* (tan x) (tan eps))) #s(literal 1 binary64))
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps))) (tan.f64 eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -2/15 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal -1/3 binary64) (tan.f64 eps)))) (tan.f64 eps)))))
#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (tan.f64 eps))))
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 1/3 binary64) (tan.f64 eps))) (tan.f64 eps))))
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (tan.f64 eps) (*.f64 (*.f64 x x) (fma.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 2/15 binary64) (tan.f64 eps))))) (tan.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x)))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))))
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#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* 1/2 (cos (+ x x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
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#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* -1/2 (cos (+ x x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))) (tan.f64 x)))
#s(approx (tan (+ (+ x eps) (PI))) (tan.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))))
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#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64)))))
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#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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#s(approx eps eps)
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#s(approx (tan eps) eps)
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#s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)))))))
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#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) eps)
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#s(approx (- 2/15 (* -17/315 (* eps eps))) #s(literal 2/15 binary64))
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#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x)))
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#s(approx (tan (+ (+ x eps) (PI))) (tan.f64 x))
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#s(approx (+ (tan x) (tan eps)) (tan.f64 x))
#s(approx (+ (tan x) (tan eps)) (+.f64 eps (tan.f64 x)))
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#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) eps)
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#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
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#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) (*.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))
#s(approx (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps))))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps))))))
#s(approx (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) (*.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))
#s(approx (- 2/15 (* -17/315 (* eps eps))) (*.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))
#s(approx (- 2/15 (* -17/315 (* eps eps))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))
#s(approx (+ (+ x eps) (PI)) eps)
#s(approx (+ (+ x eps) (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (PI.f64)) eps))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (- 1 (* -1/3 (* eps eps))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
#s(approx (- 1 (* -1/3 (* eps eps))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 #s(literal 1 binary64) eps)) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x)))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 eps eps)) #s(literal -17/315 binary64)))))
#s(approx (* eps (+ 1 (* (* eps eps) (+ 1/3 (* (* eps eps) (- 2/15 (* -17/315 (* eps eps)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x)))
#s(approx (tan (+ (+ x eps) (PI))) (tan.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (+ x eps) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (PI.f64)) eps) #s(literal -1 binary64)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1 binary64)))))

eval124.0ms (1.8%)

Memory
-37.3MiB live, 109.5MiB allocated; 23ms collecting garbage
Compiler

Compiled 14 890 to 4 318 computations (71% saved)

prune41.0ms (0.6%)

Memory
-8.0MiB live, 39.5MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New4729481
Fresh9615
Picked145
Done044
Total48223505
Accuracy
100.0%
Counts
505 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
▶64.1%
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
▶7.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
✓4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
✓64.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓99.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
98.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
▶99.0%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
✓99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
✓98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶98.9%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
✓98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
✓98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
Compiler

Compiled 1 537 to 1 163 computations (24.3% saved)

series133.0ms (1.9%)

Memory
7.1MiB live, 151.0MiB allocated; 9ms collecting garbage
Counts
66 → 348
Calls
Call 1
Inputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64))
(-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))))
(*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps)
(neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64)))
(+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
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))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64)))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))
eps
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
(*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps)
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps)))))))
#s(literal 1/3 binary64)
(*.f64 eps eps)
(*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))
(+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps)))
(*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))
#s(literal -4/3 binary64)
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(+.f64 (+.f64 x (PI.f64)) eps)
(+.f64 x (PI.f64))
(PI.f64)
(tan.f64 (+.f64 x (PI.f64)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))))))
#s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x)))
(fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))
#s(literal -1/3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))
(*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))))
#s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan 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 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 1/3))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 -1/2))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 1))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (+ eps (* eps (* x x))) #s(hole binary64 eps))
#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* eps (* x x)) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (- 1 (* -4/3 (pow eps 2))))))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (- 1 (* -4/3 (pow eps 2)))))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* eps x)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* x (+ eps (* x (- 1 (* -4/3 (pow eps 2))))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 eps))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (+ eps (* x (- 1 (* -4/3 (pow eps 2)))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (* x (- 1 (* -4/3 (pow eps 2))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (- (tan (+ (+ x (PI)) 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 (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
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#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))))
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#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (* 2 x))))))
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#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
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#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (/ eps x))) (* -4/3 (pow eps 2))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* x (- 1 (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* x (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
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#s(approx (+ x (PI)) #s(hole binary64 x))
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#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (- 1 (* -1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
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#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
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#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
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#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
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#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 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))) (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x))) (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1 (* -4/3 (pow eps 2)))) (* -1 (/ eps x)))))))
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#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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)))))))
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#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
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#s(approx eps #s(hole binary64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
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#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (pow x 2)))
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (pow x 2)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 x))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (+ eps x)))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 x))
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#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 1))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (+ 1 (* 4/3 (pow eps 2)))))
#s(approx (* -4/3 (* eps eps)) #s(hole binary64 (* -4/3 (pow eps 2))))
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#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
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#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 1))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* -1/3 (* eps eps)) #s(hole binary64 (* -1/3 (pow eps 2))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (tan eps) #s(hole binary64 eps))
#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 (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 eps))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* 4/3 (* (pow eps 2) (pow x 2)))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ x (pow eps 2))))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (* 4/3 (pow eps 2))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 eps))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (sin x) (* (pow eps 3) (cos x))))))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)))))))
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#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
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#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (sin x) (* (pow eps 3) (cos x)))) (+ 1/3 (/ 1 (pow eps 2))))))))
Calls

6 calls:

TimeVariablePointExpression
49.0ms
x
@-inf
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34.0ms
eps
@inf
((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) (- 1/2 (* 1/2 (cos (+ x x)))) 1/2 (* 1/2 (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) (- 1/2 (* -1/2 (cos (+ x x)))) eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ eps (* eps (* x x))) (* eps (* x x)) (* x x) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) 1/3 (* eps eps) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (* x (- 1 (* -4/3 (* eps eps)))) (- 1 (* -4/3 (* eps eps))) (* -4/3 (* eps eps)) -4/3 (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan (+ x (PI))) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (- 1 (* -1/3 (* eps eps))) (* -1/3 (* eps eps)) -1/3 (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (* eps (- 1 (* -1/3 (* eps eps)))))
11.0ms
x
@inf
((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) (- 1/2 (* 1/2 (cos (+ x x)))) 1/2 (* 1/2 (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) (- 1/2 (* -1/2 (cos (+ x x)))) eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ eps (* eps (* x x))) (* eps (* x x)) (* x x) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) 1/3 (* eps eps) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (* x (- 1 (* -4/3 (* eps eps)))) (- 1 (* -4/3 (* eps eps))) (* -4/3 (* eps eps)) -4/3 (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan (+ x (PI))) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (- 1 (* -1/3 (* eps eps))) (* -1/3 (* eps eps)) -1/3 (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (* eps (- 1 (* -1/3 (* eps eps)))))
10.0ms
eps
@-inf
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8.0ms
eps
@0
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rewrite213.0ms (3%)

Memory
7.3MiB live, 375.7MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150817105
0160315459
0860515226
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
414 → 541
Calls
Call 1
Inputs
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#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 1/3))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 -1/2))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#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))
#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 x #s(hole binary64 x))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 1))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (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 (+ eps (* eps (* x x))) #s(hole binary64 eps))
#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* eps (* x x)) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (- 1 (* -4/3 (pow eps 2))))))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* 1/3 (pow eps 2))))
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#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))))))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1/3 (pow eps 2))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ x (* eps (- 1 (* -1/3 (pow eps 2)))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (- 1 (* -1/3 (pow eps 2)))) (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (- 1 (* -1/3 (pow eps 2)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
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#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (* 2 x))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (/ 1 (pow x 2)) (/ eps x)))) (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (/ eps x))) (* -4/3 (pow eps 2))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow x 2) (- 1 (* -4/3 (pow eps 2))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* x (- 1 (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* x (- (+ 1 (/ eps x)) (* -4/3 (pow eps 2))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (- 1 (* -1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
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#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(hole binary64 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
#s(approx (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (- 1/2 (* -1/2 (cos (neg (* -2 x)))))))))
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#s(approx (- 1/2 (* 1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* 1/2 (cos (+ x x))) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* -1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(hole binary64 (- 1/2 (* -1/2 (cos (neg (* -2 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 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))) (* -4/3 (pow eps 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x))) (* -4/3 (pow eps 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1 (* -4/3 (pow eps 2)))) (* -1 (/ eps x)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (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 (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx eps #s(hole binary64 eps))
#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)))))))
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#s(approx (+ eps (* eps (* x x))) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (pow x 2))))
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#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (pow x 2)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 x))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (+ eps x)))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 x))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (+ x (* 4/3 (* (pow eps 2) x)))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 1))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (+ 1 (* 4/3 (pow eps 2)))))
#s(approx (* -4/3 (* eps eps)) #s(hole binary64 (* -4/3 (pow eps 2))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 1))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* -1/3 (* eps eps)) #s(hole binary64 (* -1/3 (pow eps 2))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (tan eps) #s(hole binary64 eps))
#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 (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 eps))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* 4/3 (* (pow eps 2) (pow x 2)))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ x (pow eps 2))))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (* 4/3 (pow eps 2))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 eps))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (sin x) (* (pow eps 3) (cos x))))))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (- 1 (* -1/3 (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* -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))) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps)) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* -1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))))
#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 (* eps (* x x))) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (sin x) (* (pow eps 3) (cos x)))) (+ 1/3 (/ 1 (pow eps 2))))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64))))
(-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps)) #s(literal 1 binary64)))
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#s(approx (tan (+ x (PI))) x)
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#s(approx (+ eps (* eps (* x x))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 eps x (*.f64 x x))))
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#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 x x))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x)))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (*.f64 x x))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (fma.f64 eps x (*.f64 x x)))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (fma.f64 eps (+.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) x)
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (+.f64 eps x))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (+.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) x)
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) (+.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) x))))
#s(approx (- 1 (* -4/3 (* eps eps))) #s(literal 1 binary64))
#s(approx (- 1 (* -4/3 (* eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))
#s(approx (* -4/3 (* eps eps)) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))))))
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#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 x))
#s(approx (tan (+ (+ x (PI)) eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (tan.f64 x)))
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#s(approx (+ (+ x (PI)) eps) (+.f64 x (PI.f64)))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 x))
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#s(approx (+ (tan x) (tan eps)) (tan.f64 x))
#s(approx (+ (tan x) (tan eps)) (+.f64 eps (tan.f64 x)))
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#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (tan.f64 x))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (+.f64 eps (tan.f64 x)))
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#s(approx (- 1 (* -1/3 (* eps eps))) #s(literal 1 binary64))
#s(approx (- 1 (* -1/3 (* eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
#s(approx (* -1/3 (* eps eps)) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
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#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 x x))))
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#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) x)))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 4/3 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 x (*.f64 eps eps))))))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) x)))
#s(approx (* x (- 1 (* -4/3 (* eps eps)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 4/3 binary64) x (/.f64 x (*.f64 eps eps)))))
#s(approx (- 1 (* -4/3 (* eps eps))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps eps)))
#s(approx (- 1 (* -4/3 (* eps eps))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (+ (+ x (PI)) eps) eps)
#s(approx (+ (+ x (PI)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (PI.f64)) eps))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 eps eps) eps) (cos.f64 x)))))))
#s(approx (- 1 (* -1/3 (* eps eps))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
#s(approx (- 1 (* -1/3 (* eps eps))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* eps (- 1 (* -1/3 (* eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))))))
#s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 #s(literal 1 binary64) eps)) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x)))
#s(approx (+ eps (* eps (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
#s(approx (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) eps))) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))
#s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) eps))) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))
#s(approx (* x (+ eps (* x (- 1 (* -4/3 (* eps eps)))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) eps))) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
#s(approx (+ eps (* x (- 1 (* -4/3 (* eps eps))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)) eps) (*.f64 #s(literal 4/3 binary64) x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x)))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (+ x (PI)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (PI.f64)) eps)) #s(literal 1 binary64)))))
#s(approx (+ (* eps (- 1 (* -1/3 (* eps eps)))) (tan x)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 eps eps) eps) (cos.f64 x)))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))))

eval90.0ms (1.3%)

Memory
34.2MiB live, 182.5MiB allocated; 33ms collecting garbage
Compiler

Compiled 15 667 to 4 476 computations (71.4% saved)

prune34.0ms (0.5%)

Memory
-19.1MiB live, 74.6MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New4785483
Fresh1910
Picked235
Done268
Total48323506
Accuracy
100.0%
Counts
506 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
✓7.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
✓4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓4.0%
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
7.1%
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
✓64.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
✓99.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
✓99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.7%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
98.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
99.0%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
98.8%
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
✓99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
✓98.9%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
✓98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
Compiler

Compiled 2 068 to 1 153 computations (44.2% saved)

regimes34.0ms (0.5%)

Memory
27.5MiB live, 73.7MiB allocated; 3ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(literal 1 binary64))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

11.0ms
x
9.0ms
eps
9.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.5%)

Memory
-46.2MiB live, 51.9MiB allocated; 4ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(literal 1 binary64))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

10.0ms
eps
9.0ms
x
9.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes28.0ms (0.4%)

Memory
1.3MiB live, 48.4MiB allocated; 1ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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 (-.f64 #s(literal 1 binary64) (neg.f64 (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)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(literal 1 binary64))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (sin.f64 x))))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(approx (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))) #s(literal 1 binary64)))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

8.0ms
x
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
eps
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)

regimes28.0ms (0.4%)

Memory
17.7MiB live, 58.9MiB allocated; 5ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
x
7.0ms
eps
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)

regimes29.0ms (0.4%)

Memory
19.3MiB live, 64.0MiB allocated; 8ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (-.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(approx (- 1/2 (* -1/2 (cos (+ x x)))) #s(literal 1 binary64))))) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

12.0ms
x
8.0ms
eps
7.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes41.0ms (0.6%)

Memory
29.5MiB live, 62.0MiB allocated; 19ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (*.f64 #s(literal 1/3 binary64) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(approx (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

25.0ms
x
7.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
eps
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)

regimes100.0ms (1.4%)

Memory
5.6MiB live, 88.2MiB allocated; 29ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) eps))
(-.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) eps)) (tan.f64 #s(approx (+ x (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))))))) (tan.f64 x))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

19.0ms
eps
6.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms
x
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)

regimes77.0ms (1.1%)

Memory
-3.0MiB live, 24.8MiB allocated; 101ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 #s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

68.0ms
x
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
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)

regimes11.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
Calls

3 calls:

3.0ms
eps
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms
x
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)

regimes26.0ms (0.4%)

Memory
-12.4MiB live, 30.0MiB allocated; 19ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) (*.f64 x (+.f64 eps (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (*.f64 eps eps))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.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)))
Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (* eps eps)) (* x (+ eps (* x (- 1 (* -4/3 (* eps eps))))))) (fma.f64 eps x (*.f64 x x))))) eps))
Calls

3 calls:

19.0ms
eps
3.0ms
x
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.0%1x
99.0%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 #s(approx (- (+ (* (- (* (neg (+ (- (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (- 1/2 (* 1/2 (cos (+ x x)))) (/ (- 1 (neg (pow (tan x) 2))) (- 1/2 (* -1/2 (cos (+ x x))))))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))))
Calls

3 calls:

2.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.9%1x
98.9%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.2%)

Memory
-33.2MiB live, 12.0MiB allocated; 9ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
Calls

3 calls:

10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
98.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.8%1x
98.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations341.0ms (4.9%)

Memory
-10.2MiB live, 295.8MiB allocated; 132ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 357 to 179 computations (49.9% saved)

preprocess93.0ms (1.3%)

Memory
15.5MiB live, 154.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 391 to 209 computations (46.5% saved)

end0.0ms (0%)

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

Profiling

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