Trigonometry B

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze122.0ms (4.1%)

Memory
20.1MiB live, 112.6MiB allocated; 14ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample812.0ms (27.6%)

Memory
-13.3MiB live, 690.1MiB allocated; 148ms collecting garbage
Samples
536.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-tan: 242.0ms (61.3% of total)
ival-mult!: 71.0ms (18% of total)
ival-div!: 43.0ms (10.9% of total)
ival-sub!: 20.0ms (5.1% of total)
ival-add!: 17.0ms (4.3% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess31.0ms (1.1%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
16339
221739
397839
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series6.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
7 → 26
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (tan x) (tan x)) #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 (+ 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ 1 (* (tan x) (tan x))))
2.0ms
x
@inf
((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ 1 (* (tan x) (tan x))))
1.0ms
x
@0
((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ 1 (* (tan x) (tan x))))

rewrite172.0ms (5.8%)

Memory
-7.2MiB live, 179.5MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116523
0126489
1677453
06300427
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
33 → 149
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (tan x) (tan x)) #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 (+ 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (-.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 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 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 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 x))
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.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) (-.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)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 #s(literal 2 binary64) (neg.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 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 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -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)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (fma.f64 #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 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 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 1 (* (tan x) (tan x))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -17/45 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (tan x) (tan x)) (*.f64 x x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))
#s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (* (tan x) (tan x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (+ 1 (* (tan x) (tan x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))

eval18.0ms (0.6%)

Memory
-15.3MiB live, 30.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 038 to 599 computations (70.6% saved)

prune21.0ms (0.7%)

Memory
-7.4MiB live, 39.6MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New11827145
Fresh000
Picked101
Done000
Total11927146
Accuracy
99.9%
Counts
146 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.7%
(/.f64 (/.f64 (-.f64 (*.f64 #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 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 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 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (cos.f64 x))))
▶99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)))
46.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64))))
54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
70.1%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
46.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
▶45.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
46.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
46.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 054 to 676 computations (35.9% saved)

series32.0ms (1.1%)

Memory
-9.5MiB live, 42.8MiB allocated; 7ms collecting garbage
Counts
37 → 141
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(literal 1 binary64)
(/.f64 (-.f64 #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)))))
(-.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)
#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))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
(*.f64 x x)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
(+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(sin.f64 x)
(/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (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 x #s(hole binary64 x))
#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 (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 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 (+ (* (tan x) (tan x)) 1) #s(hole binary64 1))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (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 (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))))
9.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))))
4.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))))

rewrite173.0ms (5.9%)

Memory
51.6MiB live, 183.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04214070
04813673
120853213
089533105
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
178 → 584
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(literal 1 binary64)
(/.f64 (-.f64 #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)))))
(-.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)
#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))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
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#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.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 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
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#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) x)
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 #s(literal 5/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (*.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (*.f64 x x) #s(literal 61/120 binary64)) (*.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))
#s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64)) (*.f64 x x)))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (tan x) (tan.f64 x))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 62/315 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval107.0ms (3.6%)

Memory
-24.2MiB live, 78.9MiB allocated; 35ms collecting garbage
Compiler

Compiled 14 065 to 3 020 computations (78.5% saved)

prune41.0ms (1.4%)

Memory
16.6MiB live, 61.5MiB allocated; 5ms collecting garbage
Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New45223475
Fresh81422
Picked235
Done000
Total46240502
Accuracy
100.0%
Counts
502 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.7%
(/.f64 (/.f64 (-.f64 (*.f64 #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 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 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 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
98.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.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 binary64) (/.f64 (pow.f64 (sin.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)))))))
▶99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
▶54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))
48.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
97.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)))
✓99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
70.1%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
46.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
✓45.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
45.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
▶99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
46.9%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
46.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶46.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
98.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
46.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
✓50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 786 to 1 252 computations (29.9% saved)

series30.0ms (1%)

Memory
3.2MiB live, 47.1MiB allocated; 4ms collecting garbage
Counts
40 → 166
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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 #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))))
(*.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)
#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(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (tan.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #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 x #s(hole binary64 x))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (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 (+ 1/2 (* 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 1))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (+ 1 (tan x)) #s(hole binary64 1))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (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 (- 1 (tan x)) #s(hole binary64 1))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* -1/3 (pow x 2)) 1)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 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 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (- 1 (/ (sin x) (cos x)))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (tan x) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (- 1 (pow (tan x) 2)) (pow (tan x) 2))
12.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (tan x) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (- 1 (pow (tan x) 2)) (pow (tan x) 2))
3.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (tan x) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (- 1 (pow (tan x) 2)) (pow (tan x) 2))

rewrite182.0ms (6.2%)

Memory
-34.1MiB live, 210.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04404563
05093757
121472987
086132869
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
206 → 862
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
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(-.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) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) 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(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
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(tan.f64 x)
(-.f64 #s(literal 1 binary64) (tan.f64 x))
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(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #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 x #s(hole binary64 x))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (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 (+ 1/2 (* 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 1))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (+ 1 (tan x)) #s(hole binary64 1))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (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 (- 1 (tan x)) #s(hole binary64 1))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* -1/3 (pow x 2)) 1)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 1))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 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 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (- 1 (/ (sin x) (cos x)))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2)))) #s(hole binary64 (/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
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#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

eval55.0ms (1.9%)

Memory
8.5MiB live, 97.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 8 928 to 2 219 computations (75.1% saved)

prune39.0ms (1.3%)

Memory
28.6MiB live, 74.4MiB allocated; 5ms collecting garbage
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New36123384
Fresh181432
Picked235
Done033
Total38143424
Accuracy
100.0%
Counts
424 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
98.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
48.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
70.1%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
46.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
✓45.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
45.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.3%
(/.f64 (*.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
98.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.3%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
46.9%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
▶99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
46.3%
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
46.1%
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
98.7%
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
✓46.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶2.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
46.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
✓50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 806 to 1 282 computations (29% saved)

series40.0ms (1.4%)

Memory
6.1MiB live, 56.6MiB allocated; 11ms collecting garbage
Counts
36 → 150
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos 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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #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 x #s(hole binary64 x))
#s(approx (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 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 (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 1))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -5/3 (pow x 2)) 1)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -32/45 (pow x 2)) 5/3)) 1)))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 1))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -88/45 (pow x 2)) 1/3)))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 1))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (pow (cos x) 2) (cos x) 2 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (+ (pow (tan x) 2) 1))
10.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (pow (cos x) 2) (cos x) 2 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (+ (pow (tan x) 2) 1))
3.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (pow (cos x) 2) (cos x) 2 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (+ (pow (tan x) 2) 1))

rewrite251.0ms (8.5%)

Memory
4.4MiB live, 237.6MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04574373
05143675
124552970
097222856
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
186 → 631
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos 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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #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 x #s(hole binary64 x))
#s(approx (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 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 (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 1))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -5/3 (pow x 2)) 1)))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -32/45 (pow x 2)) 5/3)) 1)))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 1))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -88/45 (pow x 2)) 1/3)))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 1))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(hole binary64 (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (+ (pow (tan x) 2) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (exp.f64 (log.f64 (tan.f64 x))) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
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(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
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x
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(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
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#s(literal 2 binary64)
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#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- 1 (pow (tan x) 4)) #s(literal 1 binary64))
#s(approx (- 1 (pow (tan x) 4)) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 4)) (fma.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 4)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -6/5 binary64) (*.f64 x x)) #s(literal 4/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 (fma.f64 #s(literal 6/5 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 848/945 binary64) (*.f64 x x) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 #s(literal -5/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -32/45 binary64) (*.f64 x x)) #s(literal 5/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) #s(literal 1 binary64))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -88/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (pow (cos x) 2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (- 1 (pow (tan x) 4)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(approx (pow (tan x) 4) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
#s(approx (/ (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (* (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (* (- 1 (pow (tan x) 4)) (+ (pow (tan x) 2) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

eval131.0ms (4.4%)

Memory
-8.7MiB live, 134.4MiB allocated; 25ms collecting garbage
Compiler

Compiled 12 806 to 2 760 computations (78.4% saved)

prune63.0ms (2.1%)

Memory
-2.7MiB live, 131.9MiB allocated; 15ms collecting garbage
Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New53119550
Fresh102232
Picked235
Done066
Total54350593
Accuracy
100.0%
Counts
593 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.1%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
99.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
98.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(literal 1 binary64)))
✓51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓54.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
48.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
✓99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
70.1%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
46.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
✓45.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
45.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.3%
(/.f64 (*.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
59.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
98.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
✓99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
46.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
99.2%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
45.4%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
47.0%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
54.9%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.3%
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
46.1%
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
98.7%
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
✓46.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
2.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
✓2.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
46.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
✓50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 2 497 to 1 296 computations (48.1% saved)

regimes94.0ms (3.2%)

Memory
20.1MiB live, 169.8MiB allocated; 9ms collecting garbage
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
Calls

4 calls:

25.0ms
x
22.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
22.0ms
(tan.f64 x)
21.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1(tan.f64 x)
99.6%1(*.f64 (tan.f64 x) (tan.f64 x))
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.6%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (2.1%)

Memory
-3.9MiB live, 91.0MiB allocated; 9ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.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) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.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) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #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 #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)))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

16.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
15.0ms
x
14.0ms
(tan.f64 x)
13.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Results
AccuracySegmentsBranch
99.5%1(tan.f64 x)
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (1.2%)

Memory
10.4MiB live, 55.2MiB allocated; 3ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) (+.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) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
9.0ms
(tan.f64 x)
8.0ms
x
8.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
54.9%1x
54.9%1(tan.f64 x)
54.9%1(*.f64 (tan.f64 x) (tan.f64 x))
54.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.9%)

Memory
-22.5MiB live, 23.3MiB allocated; 2ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (pow (cos x) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

4 calls:

12.0ms
(tan.f64 x)
4.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
52.6%2(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.0%1x
52.6%2(*.f64 (tan.f64 x) (tan.f64 x))
50.0%1(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Accuracy

Total -30.8b remaining (-96.1%)

Threshold costs -30.8b (-96.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
2.0ms
x
2.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
50.0%1x
50.0%1(*.f64 (tan.f64 x) (tan.f64 x))
50.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.05036220858082803
0.008705057891118789
Compiler

Compiled 15 to 11 computations (26.7% saved)

derivations349.0ms (11.9%)

Memory
-58.3MiB live, 261.7MiB allocated; 118ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 81 to 47 computations (42% saved)

preprocess43.0ms (1.4%)

Memory
14.4MiB live, 61.0MiB allocated; 4ms collecting garbage
Remove

(abs x)

Compiler

Compiled 299 to 192 computations (35.8% saved)

end0.0ms (0%)

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

Profiling

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