Trigonometry B

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze141.0ms (4.4%)

Memory
24.7MiB live, 124.2MiB allocated; 23ms 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)

sample739.0ms (23%)

Memory
-10.9MiB live, 684.4MiB allocated; 93ms collecting garbage
Samples
517.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-tan: 193.0ms (57.4% of total)
ival-div!: 52.0ms (15.5% of total)
ival-mult!: 40.0ms (11.9% of total)
ival-add!: 28.0ms (8.3% of total)
ival-sub!: 20.0ms (6% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess45.0ms (1.4%)

Memory
-8.4MiB live, 44.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01446
15145
214945
333645
494945
5389045
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
8.6MiB live, 8.6MiB 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))))

rewrite171.0ms (5.3%)

Memory
21.8MiB live, 208.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116523
0126489
1700449
06885422
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
33 → 143
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 (/.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 (-.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 (expm1.f64 (*.f64 (log.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 (neg.f64 (expm1.f64 (*.f64 (log.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 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log.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 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.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))) (neg.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)))))
(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))) (neg.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 (/.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) (neg.f64 (tan.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(*.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) (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 (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 (*.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 (-.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))))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (fabs.f64 (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.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) (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) (tan.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 x))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.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 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.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 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #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 (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 (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 (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 (*.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 (-.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 #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 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (expm1.f64 (*.f64 (log.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 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (neg.f64 (expm1.f64 (*.f64 (log.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)) (neg.f64 (expm1.f64 (*.f64 (log.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)))
(neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #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) (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) (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 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (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 (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 (neg.f64 (tan.f64 x)) (neg.f64 (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 (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) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.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) (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 (fma.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 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 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 (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 (* (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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
#s(approx (- 1 (* (tan x) (tan x))) (neg.f64 (expm1.f64 (*.f64 (log.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)))

eval22.0ms (0.7%)

Memory
-7.4MiB live, 39.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 058 to 688 computations (66.6% saved)

prune20.0ms (0.6%)

Memory
-12.4MiB live, 34.7MiB allocated; 1ms collecting garbage
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New19426220
Fresh000
Picked101
Done000
Total19526221
Accuracy
99.9%
Counts
221 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.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))))
99.0%
(/.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))))
99.2%
(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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))))
99.2%
(/.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))))
99.1%
(/.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))))
99.3%
(/.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 (tan.f64 x) (tan.f64 x))))
▶99.0%
(/.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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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 (tan.f64 x) (tan.f64 x))))
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)))
99.0%
(/.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)))
73.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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)))))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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)))))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
58.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
99.4%
(/.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))))
73.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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) (-.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))))
50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
50.5%
#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)))
▶55.2%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 882 to 660 computations (25.2% saved)

series26.0ms (0.8%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Counts
31 → 122
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
#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)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (-.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)
(+.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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))))
(+.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 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))
(cos.f64 x)
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (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 (* (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 (- (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 (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 (* (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))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 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 (/ 1 (pow (tan x) -2))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ 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) -2)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ 1 (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 (pow (tan x) -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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 (* (tan x) (tan 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 (* (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 (/ (- 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 (+ 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos x))) #s(hole binary64 1))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos 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)))) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (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 (* (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 (- (pow (tan x) 2) -1) #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 (* (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))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (pow (cos x) 2) (pow (sin x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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 (/ (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)))))) #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 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) (+ 1 (/ 1 (pow (tan x) -2))) (/ 1 (pow (tan x) -2)) (pow (tan x) -2) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))
10.0ms
x
@inf
((/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) (+ 1 (/ 1 (pow (tan x) -2))) (/ 1 (pow (tan x) -2)) (pow (tan x) -2) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))
2.0ms
x
@0
((/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) (+ 1 (/ 1 (pow (tan x) -2))) (/ 1 (pow (tan x) -2)) (pow (tan x) -2) -2 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))

rewrite172.0ms (5.3%)

Memory
-29.7MiB live, 204.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03483064
04032423
117772308
086422168
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
153 → 782
Calls
Call 1
Inputs
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(-.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
#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)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (-.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)
(+.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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))))
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(/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))
(cos.f64 x)
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (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 (* (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 (- (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 (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 (* (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))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 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 (/ 1 (pow (tan x) -2))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ 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) -2)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ 1 (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 (pow (tan x) -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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 (* (tan x) (tan 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 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
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#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 (+ 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos x))) #s(hole binary64 1))
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#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos 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)))) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (- (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 (* (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 (- (pow (tan x) 2) -1) #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 (* (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))) (+ 1 (/ 1 (pow (tan x) -2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ 1 (/ 1 (pow (tan x) -2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ 1 (pow (tan x) -2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (pow (tan x) -2) #s(hole binary64 (/ (pow (cos x) 2) (pow (sin x) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan 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 (/ (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)))))) #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 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 #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)))) (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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (*.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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.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))) (+.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 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (neg.f64 (expm1.f64 (*.f64 (log.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (-.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.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 #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 (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (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 (exp.f64 (*.f64 (*.f64 (log.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)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.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) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #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 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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))))))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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)))))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 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) (neg.f64 (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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (exp.f64 (log.f64 (tan.f64 x))) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.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 (/.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 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))) (neg.f64 (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 (*.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 (-.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 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))) (neg.f64 (cos.f64 x)))
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (cos.f64 x))
(/.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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (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 1 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 (neg.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))))
(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 (neg.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))))
(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 (neg.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))))
(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 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (cos.f64 x)) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (cos.f64 x)) (cos.f64 x)))
(-.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 #s(literal 0 binary64) (*.f64 (log.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 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
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#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#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 x x)
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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)))) (cos x)) (cos x))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) -2) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (pow (tan x) -2) (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (*.f64 x x) #s(literal 1/15 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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)))))) #s(literal 1 binary64))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.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(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.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 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.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 (* 2 x) (+.f64 x x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (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 (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.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)))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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)))) (cos x)) (cos x))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 x x))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 x x) #s(literal 31/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (tan x) -2) (/.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)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.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)))) (cos x)) (cos 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 (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval81.0ms (2.5%)

Memory
-6.9MiB live, 139.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 232 to 2 470 computations (73.2% saved)

prune43.0ms (1.3%)

Memory
31.0MiB live, 78.2MiB allocated; 2ms collecting garbage
Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New71835753
Fresh13821
Picked415
Done000
Total73544779
Accuracy
99.9%
Counts
779 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.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))))
99.0%
(/.f64 (/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
75.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
75.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.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))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))) (*.f64 #s(literal 2 binary64) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.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))))
72.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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))))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.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))))
99.1%
(/.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)))
99.3%
(/.f64 (-.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)))))
99.0%
(/.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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.0%
(/.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)))
▶99.3%
(/.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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶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)))) (+.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 (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)))))
46.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.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)))))
99.0%
(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 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)))
73.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
58.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.4%
(/.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))))
73.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.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))))
73.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
▶73.0%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
55.6%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
55.6%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
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))))
50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓55.2%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 663 to 1 335 computations (19.7% saved)

series83.0ms (2.6%)

Memory
12.3MiB live, 109.4MiB allocated; 7ms collecting garbage
Counts
41 → 170
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 (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 #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 (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 1/2 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)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))
(log.f64 (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.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))))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(neg.f64 (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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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)))) (pow.f64 (cos.f64 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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 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 (* (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 (/ (- 1/2 (* (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 (+ (* (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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -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 (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (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) 2)) #s(hole binary64 -1))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 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) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 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 (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 1))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 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)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (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 (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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 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 (* (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 (/ (- 1/2 (* (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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#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 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 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) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (neg (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)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (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 (/ 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 (/ (- 1/2 (* (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)))))))
Calls

3 calls:

TimeVariablePointExpression
51.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 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 (* (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)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)) (tan x) (- -1 (pow (tan x) 2)) -1 (pow (tan x) 2) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (neg (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) (pow (cos x) 2) (cos x))
25.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 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 (* (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)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)) (tan x) (- -1 (pow (tan x) 2)) -1 (pow (tan x) 2) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (neg (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) (pow (cos x) 2) (cos x))
3.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 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 (* (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)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)) (tan x) (- -1 (pow (tan x) 2)) -1 (pow (tan x) 2) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (neg (tan x)) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) (pow (cos x) 2) (cos x))

rewrite195.0ms (6.1%)

Memory
1.8MiB live, 230.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04684225
05413706
124663010
097372840
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
211 → 1 072
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 (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 #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 (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 1/2 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)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))
(log.f64 (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.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))))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(neg.f64 (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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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)))) (pow.f64 (cos.f64 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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 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 (* (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 (/ (- 1/2 (* (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 (+ (* (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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- (exp (* (log (tan x)) 2)) 1) (- -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 (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (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) 2)) #s(hole binary64 -1))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 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) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 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 (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 1))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 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)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) (+ 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (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 (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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (* 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 (* (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 (/ (- 1/2 (* (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 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#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 (/ (- (exp (* (log (tan x)) 2)) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 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) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (neg (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)))) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))
#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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 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 (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 (/ 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 (/ (- 1/2 (* (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)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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))) (*.f64 (/.f64 (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) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 #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)))) (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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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))) #s(literal 3 binary64))) (fma.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 (*.f64 (/.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 (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 #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)))))))
(/.f64 (+.f64 (pow.f64 (/.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.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 (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 #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 (/.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 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(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 2 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 (fma.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)) (neg.f64 (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 (fma.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
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#s(literal 2 binary64)
x
(*.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)))
(*.f64 (exp.f64 (log.f64 (cos.f64 x))) (exp.f64 (log.f64 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
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(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) x)) (cos.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 x))) (cos.f64 (-.f64 x (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
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(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
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(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (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)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
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#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 x x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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 (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (*.f64 x 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)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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)))))) #s(literal 1 binary64))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 x x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (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 (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (fma.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)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.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 (* 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 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (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 (+ (* (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)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (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 (+ (* (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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (neg.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (exp (* (log (tan x)) 2)) 1) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
#s(approx (* (log (tan x)) 2) (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
#s(approx (log (tan x)) (log.f64 (tan.f64 x)))
#s(approx (tan x) (tan.f64 x))
#s(approx (- -1 (pow (tan 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)) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
#s(approx (neg (tan x)) (neg.f64 (tan.f64 x)))
#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)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.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 (* 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 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#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 (cos x) (cos.f64 x))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.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)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (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 (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

eval112.0ms (3.5%)

Memory
-29.1MiB live, 124.7MiB allocated; 100ms collecting garbage
Compiler

Compiled 8 869 to 2 751 computations (69% saved)

prune52.0ms (1.6%)

Memory
-3.3MiB live, 91.3MiB allocated; 3ms collecting garbage
Pruning

56 alts after pruning (53 fresh and 3 done)

PrunedKeptTotal
New65227679
Fresh122638
Picked325
Done011
Total66756723
Accuracy
99.9%
Counts
723 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 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))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.4%
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.0%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
75.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
75.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.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))))
99.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.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))))
99.5%
(/.f64 (-.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))))
72.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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))))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 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(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 2 binary64)))))
99.1%
(/.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))))
99.0%
(/.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)))))
99.3%
(/.f64 (-.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)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶99.0%
(/.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))) (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)))))
72.9%
(/.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)))))) (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))))
58.9%
(/.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 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
46.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.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)))))
99.0%
(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64)))
▶73.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
58.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
▶50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.4%
(/.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))))
72.9%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
73.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
13.0%
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
72.9%
(/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
73.0%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.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)))))
73.0%
(/.f64 (expm1.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 (exp.f64 (*.f64 (*.f64 (log.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))))))
✓73.0%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
53.3%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
50.5%
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
50.5%
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
55.6%
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
55.6%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.3%
(-.f64 (/.f64 (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) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
50.7%
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
▶2.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓55.2%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 2 173 to 1 746 computations (19.7% saved)

series39.0ms (1.2%)

Memory
12.6MiB live, 63.1MiB allocated; 3ms collecting garbage
Counts
43 → 168
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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#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) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))
(log.f64 (tan.f64 x))
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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 1))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos 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) #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) #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 (- (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 (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #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))) (- (pow (tan x) 2) -1)) #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))) (- (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 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (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 (* (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 (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 -1))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) 1)))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) 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 (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#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)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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) #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) #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 (- (pow (tan x) 2) -1) #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -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) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))))
#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 (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#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))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #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 (/ (pow (sin x) 2) (pow (cos x) 2))))))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (pow (tan x) 2) -1) (pow (tan x) 2) (tan x) 2 -1 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) (- (pow (tan x) 4) 1) (pow (tan x) 4) 4 (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)))
15.0ms
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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (pow (tan x) 2) -1) (pow (tan x) 2) (tan x) 2 -1 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) (- (pow (tan x) 4) 1) (pow (tan x) 4) 4 (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)))
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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 17/45 2/3 (- (pow (tan x) 2) -1) (pow (tan x) 2) (tan x) 2 -1 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) (- (pow (tan x) 4) 1) (pow (tan x) 4) 4 (- (exp (* (log (tan x)) 2)) 1) (* (log (tan x)) 2) (log (tan x)))

rewrite184.0ms (5.7%)

Memory
-6.3MiB live, 226.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04874795
05594220
127403460
090133305
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
211 → 848
Calls
Call 1
Inputs
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(-.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))
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#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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)
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(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))
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#s(literal 62/315 binary64)
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(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
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(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
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(-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))
(log.f64 (tan.f64 x))
#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)))))
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#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)))))
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#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)))
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#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)))
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#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)))))
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#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)))
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#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)))))
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#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)))))))))
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#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
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#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 1))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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)))) (cos x)) (cos 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))))))
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#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (- (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 (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #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))) (- (pow (tan x) 2) -1)) #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))) (- (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 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (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 (* (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 (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 -1))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) 1)))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) 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 (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 -1))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))))
#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)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))) (* 1/2 (/ 1 (pow (cos x) 2))))))
#s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (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) #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) #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 (- (pow (tan x) 2) -1) #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -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) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1))) #s(hole binary64 (/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))))
#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 (/ (- (pow (tan x) 4) 1) (- (exp (* (log (tan x)) 2)) 1)) #s(hole binary64 (/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))))
#s(approx (- (pow (tan x) 4) 1) #s(hole binary64 (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1)))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (- (exp (* (log (tan x)) 2)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#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))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (- (pow (tan x) 2) -1)) #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 (/ (pow (sin x) 2) (pow (cos x) 2))))))
Outputs
(/.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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.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 (neg.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.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 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (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 2 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)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (-.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))))
(/.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 #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 (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 (*.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) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.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 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.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))))))
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#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) (*.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 #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) (* 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 (- (pow (tan x) 2) -1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -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)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64))))))
#s(approx (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- (pow (tan x) 2) -1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (- (pow (tan x) 4) 1) (expm1.f64 (*.f64 (log.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 (- (exp (* (log (tan x)) 2)) 1) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
#s(approx (* (log (tan x)) 2) (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
#s(approx (log (tan x)) (log.f64 (tan.f64 x)))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -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)))) (cos x)) (cos 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 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (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 (+ (* (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 (- (pow (tan x) 2) -1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -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))))

eval135.0ms (4.2%)

Memory
47.5MiB live, 268.5MiB allocated; 46ms collecting garbage
Compiler

Compiled 15 850 to 4 148 computations (73.8% saved)

prune103.0ms (3.2%)

Memory
-45.5MiB live, 105.6MiB allocated; 44ms collecting garbage
Pruning

57 alts after pruning (51 fresh and 6 done)

PrunedKeptTotal
New1 099171 116
Fresh143448
Picked235
Done033
Total1 115571 172
Accuracy
99.9%
Counts
1 172 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 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))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.4%
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.0%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
75.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 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 (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))))
99.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 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(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 2 binary64)))))
99.1%
(/.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))))
99.0%
(/.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)))))
99.3%
(/.f64 (-.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)))))
99.0%
(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (-.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)))) #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)))
99.0%
(/.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.0%
(/.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 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.0%
(/.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)))
72.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))))
58.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
57.8%
(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
46.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.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)))) (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)))
99.3%
(/.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 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.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)))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓73.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
58.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 binary64)))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.4%
(/.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))))
72.9%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
73.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
13.0%
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
72.9%
(/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
73.0%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.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)))))
73.0%
(/.f64 (expm1.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 (exp.f64 (*.f64 (*.f64 (log.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))))))
✓73.0%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
53.3%
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
50.5%
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
50.5%
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
55.6%
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
55.6%
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.3%
(-.f64 (/.f64 (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) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
50.7%
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
73.0%
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64))))))
✓50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
50.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
2.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
✓2.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
2.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
50.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓55.2%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 2 229 to 1 390 computations (37.6% saved)

regimes102.0ms (3.2%)

Memory
20.9MiB live, 112.0MiB allocated; 5ms collecting garbage
Counts
106 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.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))) (-.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (-.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 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 #s(literal 1 binary64) (pow.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 (fma.f64 (tan.f64 x) (tan.f64 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))) (-.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))) (+.f64 #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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 2 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))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
(/.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)))))
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.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 (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))))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 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 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (-.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 (tan.f64 x) (tan.f64 x))))
(/.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 (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) (-.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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.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 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #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 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.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)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 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 (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 (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)))) (pow.f64 (cos.f64 x) #s(literal 2 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) (*.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 (/.f64 (sin.f64 x) (cos.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 #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) (/.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 (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 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 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))) (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) (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 (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))) (/.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) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 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 (-.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)))) #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 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.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 (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 (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 (tan.f64 x) (tan.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))))
(/.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.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)))) (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) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))) (*.f64 #s(literal 2 binary64) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.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))))
(/.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 (expm1.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 (exp.f64 (*.f64 (*.f64 (log.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))))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.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 (-.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 (tan.f64 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)))))) (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.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 (pow.f64 (tan.f64 x) #s(literal 2 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(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 2 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) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (log.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))))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
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:

26.0ms
(tan.f64 x)
25.0ms
x
25.0ms
(/.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
(*.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)

regimes72.0ms (2.2%)

Memory
28.6MiB live, 77.0MiB allocated; 7ms collecting garbage
Counts
72 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.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))) (-.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (-.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 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 #s(literal 1 binary64) (pow.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 (fma.f64 (tan.f64 x) (tan.f64 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))) (-.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))) (+.f64 #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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 2 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))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
(/.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)))))
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.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 (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))))
#s(approx (/ (- 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 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 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (-.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 (tan.f64 x) (tan.f64 x))))
(/.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 (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) (-.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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.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 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #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 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.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)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 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 (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 (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)))) (pow.f64 (cos.f64 x) #s(literal 2 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) (*.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(/.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))))
Calls

4 calls:

19.0ms
(/.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))))
17.0ms
(tan.f64 x)
17.0ms
x
15.0ms
(*.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)

regimes54.0ms (1.7%)

Memory
-33.2MiB live, 59.2MiB allocated; 4ms collecting garbage
Counts
52 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.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))) (-.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (-.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 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 #s(literal 1 binary64) (pow.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 (fma.f64 (tan.f64 x) (tan.f64 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))) (-.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))) (+.f64 #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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 2 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))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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)))))
(/.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)))))
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.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 (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)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

14.0ms
x
14.0ms
(tan.f64 x)
12.0ms
(/.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))))
11.0ms
(*.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)

regimes41.0ms (1.3%)

Memory
1.3MiB live, 47.4MiB allocated; 2ms collecting garbage
Counts
40 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.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))) (-.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.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 (-.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 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 #s(literal 1 binary64) (pow.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.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:

11.0ms
(tan.f64 x)
10.0ms
x
9.0ms
(/.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
(*.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 (1.1%)

Memory
-9.1MiB live, 39.6MiB allocated; 4ms collecting garbage
Counts
33 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 (log.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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(/.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 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

8.0ms
x
8.0ms
(tan.f64 x)
8.0ms
(/.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))))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
78.6%2(tan.f64 x)
73.0%1(*.f64 (tan.f64 x) (tan.f64 x))
73.0%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))))
73.0%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (1%)

Memory
39.2MiB live, 39.2MiB allocated; 0ms collecting garbage
Counts
31 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
Outputs
(/.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 (-.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

8.0ms
x
8.0ms
(tan.f64 x)
8.0ms
(/.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))))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
60.9%2(*.f64 (tan.f64 x) (tan.f64 x))
58.9%1x
60.9%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))))
58.9%1(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.7%)

Memory
-17.6MiB live, 28.6MiB allocated; 2ms collecting garbage
Counts
29 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.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 #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
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)))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
Calls

3 calls:

8.0ms
(/.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))))
7.0ms
(tan.f64 x)
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
58.9%1(tan.f64 x)
58.9%1(*.f64 (tan.f64 x) (tan.f64 x))
58.9%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 18 to 12 computations (33.3% saved)

regimes29.0ms (0.9%)

Memory
-12.7MiB live, 33.5MiB allocated; 2ms collecting garbage
Counts
26 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
Calls

4 calls:

7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
7.0ms
(tan.f64 x)
7.0ms
x
6.0ms
(/.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
58.9%1(*.f64 (tan.f64 x) (tan.f64 x))
58.9%1x
58.9%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))))
58.9%1(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes25.0ms (0.8%)

Memory
30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Counts
23 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) #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)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (exp (* (log (tan x)) 2)) 1) (fma.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) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (tan x) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (-.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
Calls

4 calls:

6.0ms
(tan.f64 x)
6.0ms
x
6.0ms
(/.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))))
5.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
55.6%1(*.f64 (tan.f64 x) (tan.f64 x))
55.6%1x
55.6%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))))
57.4%2(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.6%)

Memory
-23.7MiB live, 22.7MiB allocated; 2ms collecting garbage
Counts
15 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64)))
Calls

4 calls:

5.0ms
x
4.0ms
(tan.f64 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
55.2%1(*.f64 (tan.f64 x) (tan.f64 x))
55.2%1x
55.2%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))))
57.2%2(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.3%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Accuracy

Total -34.4b remaining (-119.8%)

Threshold costs -34.4b (-119.8%)

Counts
14 → 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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos 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 (fma.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 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.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 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x))) (- (pow (tan x) 2) -1)) (fma.f64 (fma.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))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) #s(approx (+ (* (* x x) -2) 1) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (cos x)))) (fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
(tan.f64 x)
4.0ms
x
Results
AccuracySegmentsBranch
55.2%1x
55.2%1(tan.f64 x)
Compiler

Compiled 3 to 3 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.030710334626876612
4.572979895767016e-308
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.21338830538673406
0.24086366781278393
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.199517683336452e-5
6.493663180367791e-5
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.030710334626876612
4.572979895767016e-308
Compiler

Compiled 15 to 11 computations (26.7% saved)

derivations297.0ms (9.2%)

Memory
-16.4MiB live, 168.1MiB allocated; 14ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 116 to 75 computations (35.3% saved)

preprocess104.0ms (3.2%)

Memory
17.5MiB live, 158.1MiB allocated; 48ms collecting garbage
Remove

(abs x)

Compiler

Compiled 600 to 454 computations (24.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...