Trigonometry B

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze167.0ms (4.4%)

Memory
20.8MiB live, 207.1MiB allocated; 73ms collecting garbage
Algorithm
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)

sample1.3s (33.3%)

Memory
57.7MiB live, 882.9MiB allocated; 754ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 793.0ms
ival-tan: 606.0ms (76.4% of total)
ival-div!: 88.0ms (11.1% of total)
ival-mult!: 61.0ms (7.7% of total)
ival-sub!: 20.0ms (2.5% of total)
ival-add!: 17.0ms (2.1% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess98.0ms (2.6%)

Memory
-57.2MiB live, 50.5MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
16339
221739
397839
Stop Event
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)

series13.0ms (0.3%)

Memory
24.6MiB live, 24.6MiB 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
4.0ms
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))))
4.0ms
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))))
4.0ms
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))))

rewrite174.0ms (4.6%)

Memory
22.2MiB live, 165.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval26.0ms (0.7%)

Memory
-39.6MiB live, 56.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 038 to 599 computations (70.6% saved)

prune15.0ms (0.4%)

Memory
40.0MiB live, 40.0MiB allocated; 0ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New12322145
Fresh000
Picked101
Done000
Total12422146
Accuracy
99.9%
Counts
146 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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))))
99.3%
(/.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))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
99.4%
(/.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)))))
99.5%
(/.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)))
99.3%
(/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
61.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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))))))))
55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
74.8%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
74.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
53.6%
#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)))
57.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 726 to 508 computations (30% saved)

series128.0ms (3.4%)

Memory
-13.2MiB live, 265.2MiB allocated; 33ms collecting garbage
Counts
35 → 147
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(*.f64 (tan.f64 x) (sin.f64 x))
(tan.f64 x)
x
(sin.f64 x)
(cos.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(exp.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(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 #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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.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 (sin.f64 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)
Outputs
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (* (tan x) (sin 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 (* (tan x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (tan x) (sin 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 (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 1))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (pow x 2)))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (exp (* (log (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 (* (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 (exp (* (log (tan x)) 2))) #s(hole binary64 1))
#s(approx (+ 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (exp (* (log (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)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ 1/2 (* 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 (* 1/2 (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 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (/ (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 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (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 (exp (* (log (tan x)) 2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#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 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (sin 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))))
Calls

3 calls:

TimeVariablePointExpression
63.0ms
x
@inf
((/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) (- 1 (/ (* (tan x) (sin x)) (cos x))) 1 (/ (* (tan x) (sin x)) (cos x)) (* (tan x) (sin x)) (tan x) x (sin x) (cos x) (+ 1 (/ (* (tan x) (sin x)) (cos x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) (- 1 (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) 2 (+ 1 (exp (* (log (tan x)) 2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (sin 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))
53.0ms
x
@-inf
((/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) (- 1 (/ (* (tan x) (sin x)) (cos x))) 1 (/ (* (tan x) (sin x)) (cos x)) (* (tan x) (sin x)) (tan x) x (sin x) (cos x) (+ 1 (/ (* (tan x) (sin x)) (cos x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) (- 1 (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) 2 (+ 1 (exp (* (log (tan x)) 2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (sin 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))
7.0ms
x
@0
((/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) (- 1 (/ (* (tan x) (sin x)) (cos x))) 1 (/ (* (tan x) (sin x)) (cos x)) (* (tan x) (sin x)) (tan x) x (sin x) (cos x) (+ 1 (/ (* (tan x) (sin x)) (cos x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) (- 1 (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) 2 (+ 1 (exp (* (log (tan x)) 2))) (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) (/ (sin 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))

rewrite214.0ms (5.6%)

Memory
14.4MiB live, 386.7MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04443301
05082902
122382747
097722618
Stop Event
iter-limit
node-limit
iter-limit
Counts
182 → 582
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(*.f64 (tan.f64 x) (sin.f64 x))
(tan.f64 x)
x
(sin.f64 x)
(cos.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(exp.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(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 #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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.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 (sin.f64 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(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (* (tan x) (sin 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 (* (tan x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (tan x) (sin 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 (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 1))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (pow x 2)))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (exp (* (log (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 (* (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 (exp (* (log (tan x)) 2))) #s(hole binary64 1))
#s(approx (+ 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (exp (* (log (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)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 x))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ 1/2 (* 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 (* 1/2 (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 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (* (tan x) (sin x)) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (tan x) (sin x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ 1 (/ (* (tan x) (sin x)) (cos x))) #s(hole binary64 (+ 1 (/ (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 (exp (* (log (tan x)) 2))) (+ 1 (exp (* (log (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 (exp (* (log (tan x)) 2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#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 (exp (* (log (tan x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2))) #s(hole binary64 (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 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 (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (sin 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))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sin.f64 x) (tan.f64 x))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))) (*.f64 #s(literal 2 binary64) (cos.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (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 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.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 (neg.f64 (*.f64 (sin.f64 x) (tan.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 #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 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.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 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (sin.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.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))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
(+.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (tan.f64 x)))
x
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
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eval51.0ms (1.3%)

Memory
-16.9MiB live, 176.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 562 to 1 925 computations (65.4% saved)

prune21.0ms (0.6%)

Memory
-12.8MiB live, 85.6MiB allocated; 3ms collecting garbage
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New35310363
Fresh71017
Picked235
Done000
Total36223385
Accuracy
100.0%
Counts
385 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.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)))))
99.5%
(/.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) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
74.8%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
98.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
74.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
54.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
61.5%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
53.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
57.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 693 to 520 computations (25% saved)

series84.0ms (2.2%)

Memory
6.5MiB live, 241.1MiB allocated; 20ms collecting garbage
Counts
31 → 125
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -1 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 (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 #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)))
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (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 (/ (+ (* (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 1))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 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 (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (pow (tan x) 2) -1) -1 (/ (+ (* (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)))
32.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (pow (tan x) 2) -1) -1 (/ (+ (* (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)))
7.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (+ (* (cos (+ x x)) 1/2) 1/2) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (pow (tan x) 2) -1) -1 (/ (+ (* (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)))

rewrite174.0ms (4.6%)

Memory
47.7MiB live, 281.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03553320
04112909
118162369
086532286
Stop Event
iter-limit
node-limit
iter-limit
Counts
156 → 694
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -1 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 (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 #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)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (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 (/ (+ (* (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 1))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- (/ 1 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 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 (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (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 (- (pow (tan x) 2) -1)) (/ (pow (tan x) 2) (- (pow (tan x) 2) -1))) #s(hole binary64 (- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.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)))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (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 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 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))) (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (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 (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 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.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 (neg.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 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (+.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)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.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 (neg.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (+.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)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 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 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 (+.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)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 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 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.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)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (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 2 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (neg.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))))))))
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#s(approx (+ (* (tan x) (neg (tan x))) 1) (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (pow (tan x) 2) (*.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 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (tan x) 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 (- (pow (tan x) 2) -1) #s(literal 1 binary64))
#s(approx (- (pow (tan x) 2) -1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- (pow (tan x) 2) -1) (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 (- (pow (tan x) 2) -1) (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 (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64))
#s(approx (+ (* (tan x) (neg (tan x))) 1) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (tan x) (neg (tan x))) 1) (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (tan x) (neg (tan x))) 1) (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (neg (tan x)) (neg.f64 x))
#s(approx (neg (tan x)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (tan x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (tan x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (* (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 (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 (pow (tan x) 2) (*.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 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) #s(literal 1 binary64))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) (*.f64 x x))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan 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 (+ (* (tan x) (neg (tan x))) 1) (+.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 (pow (tan x) 2) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (* (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 (* (tan x) (tan x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* 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 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (pow (tan x) 2) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (- (pow (tan x) 2) -1) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (tan x) (neg (tan x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (neg (tan x)) (neg.f64 (tan.f64 x)))
#s(approx (+ 1 (* (tan x) (tan x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ 1 (- (pow (tan x) 2) -1)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (pow (tan x) 2) (- (pow (tan x) 2) -1)) (/.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(approx (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan 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 (+ (* (tan x) (neg (tan x))) 1) (+.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 (pow (tan x) 2) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (* (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 (* (tan x) (tan x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

eval58.0ms (1.5%)

Memory
-9.8MiB live, 135.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 9 995 to 2 237 computations (77.6% saved)

prune28.0ms (0.7%)

Memory
-35.9MiB live, 62.3MiB allocated; 5ms collecting garbage
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New42611437
Fresh31215
Picked055
Done033
Total42931460
Accuracy
100.0%
Counts
460 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.0%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.5%
(/.f64 (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))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
74.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (expm1.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))))
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)))
99.0%
(/.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)))))
74.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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)))))
61.5%
(/.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)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
59.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.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)))))
99.5%
(/.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)))
55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
74.8%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
74.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
54.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
61.5%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
53.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
2.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
57.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 929 to 698 computations (24.9% saved)

series100.0ms (2.6%)

Memory
42.3MiB live, 228.7MiB allocated; 24ms collecting garbage
Counts
38 → 141
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.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))))
#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)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))
(-.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))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
(+.f64 #s(literal 1 binary64) (/.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 (-.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (-.f64 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (pow (sin x) 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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 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 (/ (pow (sin x) 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 (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx 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 (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 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 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 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 (pow (tan x) 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 (pow (tan x) 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 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (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 (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (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 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 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))) (+ 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 (+ 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 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
Calls

3 calls:

TimeVariablePointExpression
50.0ms
x
@-inf
((/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow (sin x) 2) (sin x) x 2 (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 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 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan 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 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (- (pow (tan x) 2) -1) -1)
39.0ms
x
@inf
((/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow (sin x) 2) (sin x) x 2 (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 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 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan 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 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (- (pow (tan x) 2) -1) -1)
8.0ms
x
@0
((/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow (sin x) 2) (sin x) x 2 (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 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 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan 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 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (- 1 (pow (tan x) 4)) (pow (tan x) 4) 4 (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (- (pow (tan x) 2) -1) -1)

rewrite381.0ms (10%)

Memory
-7.5MiB live, 420.1MiB allocated; 236ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04314080
04873372
123202682
093542571
Stop Event
iter-limit
node-limit
iter-limit
Counts
179 → 630
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.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))))
#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)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))
(-.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))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
(+.f64 #s(literal 1 binary64) (/.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 (-.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (-.f64 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (pow (sin x) 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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 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 (/ (pow (sin x) 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 (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx 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 (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 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 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 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 (pow (tan x) 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 (pow (tan x) 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 (pow (tan x) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 1))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (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 (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- 1 (/ (- 1/2 (* (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 (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))))
#s(approx (- 1 (pow (tan x) 4)) #s(hole binary64 (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(hole binary64 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (+ 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))) (+ 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 (+ 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 (pow (tan x) 2)) (+ 1 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (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)))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
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(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64) (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.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)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
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(fabs.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
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(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 x x))
#s(approx (/ (pow (sin x) 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 (/ (pow (sin x) 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 (/ (pow (sin x) 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 (pow (sin x) 2) (*.f64 x x))
#s(approx (pow (sin x) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (*.f64 (fma.f64 (-.f64 (*.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 (pow (sin x) 2) (*.f64 (fma.f64 (-.f64 (*.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 (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx 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 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (+ x x) (+.f64 x x))
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#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -2) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (* (* x x) -2) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(literal 1 binary64))
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#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64))
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#s(approx (/ (pow (sin x) 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 (/ (pow (sin x) 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 (/ (pow (sin x) 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 (pow (sin x) 2) (*.f64 x x))
#s(approx (pow (sin x) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (*.f64 (fma.f64 (-.f64 (*.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 (pow (sin x) 2) (*.f64 (fma.f64 (-.f64 (*.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 (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
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#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64))
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#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 x x))
#s(approx (/ (pow (sin x) 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 (/ (pow (sin x) 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 (/ (pow (sin x) 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 (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 4)) (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 4)) #s(literal 1 binary64))
#s(approx (- 1 (pow (tan x) 4)) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 4)) (fma.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 4)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -6/5 binary64) (*.f64 x x)) #s(literal 4/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (pow (tan x) 4) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 (fma.f64 #s(literal 6/5 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow (tan x) 4) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 848/945 binary64) (*.f64 x x) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) #s(literal 1 binary64))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (fma.f64 (fma.f64 #s(literal 7/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 94/45 binary64) (*.f64 x x) #s(literal 7/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))
#s(approx (- (pow (tan x) 2) -1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- (pow (tan x) 2) -1) (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 (- (pow (tan x) 2) -1) (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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
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#s(approx (pow (sin x) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
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#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
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#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)))
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#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (sin x) 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 (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
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#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
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#s(approx (- 1 (pow (tan x) 4)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(approx (pow (tan x) 4) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
#s(approx (* (- (pow (tan x) 2) -1) (- (pow (tan x) 2) -1)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (/ (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (pow (sin x) 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 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
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#s(approx (- 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (sin x) 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 (+ 1 (/ (pow (sin x) 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 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))

eval75.0ms (2%)

Memory
-4.0MiB live, 182.1MiB allocated; 21ms collecting garbage
Compiler

Compiled 11 771 to 2 586 computations (78% saved)

prune37.0ms (1%)

Memory
0.4MiB live, 93.9MiB allocated; 5ms collecting garbage
Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New5099518
Fresh41418
Picked325
Done088
Total51633549
Accuracy
100.0%
Counts
549 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 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)))
74.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
52.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 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)))
61.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(approx (+ 1 (/ (pow (sin x) 2) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(literal 1 binary64)))
56.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
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)))))
61.5%
(/.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)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
59.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.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)))))
55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
74.8%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
74.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
54.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
61.5%
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
53.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
2.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
2.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
57.4%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 167 to 729 computations (37.5% saved)

regimes57.0ms (1.5%)

Memory
34.1MiB live, 128.7MiB allocated; 10ms collecting garbage
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (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 (-.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (expm1.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) (/.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 #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 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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 (-.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 (+.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
Calls

4 calls:

17.0ms
x
13.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
12.0ms
(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))))
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)

regimes60.0ms (1.6%)

Memory
-30.2MiB live, 114.3MiB allocated; 24ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (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 (-.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (expm1.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) (/.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 #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 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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:

23.0ms
(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
x
10.0ms
(*.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)

regimes40.0ms (1%)

Memory
-0.4MiB live, 92.6MiB allocated; 6ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (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 (-.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (expm1.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))))
Outputs
(/.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))))
Calls

4 calls:

11.0ms
(tan.f64 x)
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
9.0ms
x
8.0ms
(*.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)

regimes30.0ms (0.8%)

Memory
28.7MiB live, 75.2MiB allocated; 3ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (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 (-.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))))
Outputs
(/.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)))
Calls

4 calls:

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))))
7.0ms
(tan.f64 x)
7.0ms
x
6.0ms
(*.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)

regimes34.0ms (0.9%)

Memory
-23.9MiB live, 70.8MiB allocated; 9ms 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))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (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 (-.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)))
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:

12.0ms
x
9.0ms
(tan.f64 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))))
6.0ms
(*.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)

regimes19.0ms (0.5%)

Memory
-0.3MiB live, 46.4MiB allocated; 2ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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 (-.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(approx (+ 1 (/ (pow (sin x) 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 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(literal 1 binary64)))))
Outputs
(/.f64 (-.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))) #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
(tan.f64 x)
4.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
61.5%1(tan.f64 x)
61.5%1(*.f64 (tan.f64 x) (tan.f64 x))
61.5%1x
61.5%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))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.4%)

Memory
-11.8MiB live, 35.0MiB allocated; 3ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (tan x) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (tan x) 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)))
Outputs
(*.f64 #s(approx (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

3.0ms
x
3.0ms
(tan.f64 x)
3.0ms
(/.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))))
3.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
61.5%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))))
61.5%1x
61.5%1(tan.f64 x)
61.5%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
Calls

4 calls:

2.0ms
x
2.0ms
(tan.f64 x)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
2.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
59.8%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))))
57.4%1x
57.4%1(tan.f64 x)
59.8%2(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Accuracy

Total -35.5b remaining (-130.3%)

Threshold costs -35.5b (-130.3%)

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

3 calls:

2.0ms
(tan.f64 x)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
2.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
57.4%1(tan.f64 x)
57.4%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%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9626887272267854
1.0672021667407627
Compiler

Compiled 13 to 11 computations (15.4% saved)

derivations360.0ms (9.4%)

Memory
-51.5MiB live, 484.0MiB allocated; 43ms collecting garbage
Stop Event
fuel
Compiler

Compiled 109 to 59 computations (45.9% saved)

preprocess75.0ms (2%)

Memory
44.9MiB live, 232.3MiB allocated; 14ms collecting garbage
Remove

(abs x)

Compiler

Compiled 431 to 278 computations (35.5% saved)

end0.0ms (0%)

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

Profiling

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