Trigonometry B

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze214.0ms (6.3%)

Memory
8.5MiB live, 245.2MiB allocated; 31ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.0s (30.4%)

Memory
-15.6MiB live, 1 234.7MiB allocated; 152ms collecting garbage
Samples
680.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 445.0ms
ival-tan: 314.0ms (70.5% of total)
ival-mult!: 58.0ms (13% of total)
ival-div!: 33.0ms (7.4% of total)
ival-sub!: 20.0ms (4.5% of total)
ival-add!: 18.0ms (4% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess37.0ms (1.1%)

Memory
-4.1MiB live, 42.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
17139
228639
3153239
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series6.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
7 → 23
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 (* -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 (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ 1 (* (tan x) (tan x))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
Calls

3 calls:

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

rewrite225.0ms (6.6%)

Memory
17.5MiB live, 251.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113502
0123470
1772430
27445430
08073403
125602403
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
30 → 138
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 (* -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 (+ 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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (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 (-.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(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))))
(neg.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.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)) (-.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (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 (*.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))))))
(neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.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 binary64) (+.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 (fabs.f64 (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (-.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) (+.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 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (neg.f64 (-.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) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (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 2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.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 (-.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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (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)))))
(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)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(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 (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))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (/.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)))) #s(literal 1 binary64))
(fma.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 binary64) (neg.f64 (+.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 (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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 1 (* (tan x) (tan x))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (* (tan x) (tan x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (tan x) (tan x)) (*.f64 x x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ 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 (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))) (-.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)))

eval33.0ms (1%)

Memory
-9.4MiB live, 42.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 894 to 528 computations (72.1% saved)

prune17.0ms (0.5%)

Memory
-10.1MiB live, 36.6MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11618134
Fresh000
Picked101
Done000
Total11718135
Accuracy
99.9%
Counts
135 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (fma.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 binary64) (+.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))))
▶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))))
99.0%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.5%
(/.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)))))))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.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)))) #s(literal 1 binary64)))
99.4%
(/.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)))
46.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
47.2%
(/.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))))
45.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶50.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 640 to 432 computations (32.5% saved)

series27.0ms (0.8%)

Memory
12.2MiB live, 58.1MiB allocated; 4ms collecting garbage
Counts
35 → 75
Calls
Call 1
Inputs
(/.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))
(tan.f64 x)
x
(neg.f64 (tan.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#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 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
(*.f64 x x)
#s(literal 2/3 binary64)
#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) (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))))
#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))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.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)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
Outputs
#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 (* -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 (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 (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 (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 (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* 2/3 (pow x 2)) 2))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -4/45 (pow x 2)))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #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 (pow x 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* 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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (/ (+ (* (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 (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#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 (* (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 (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -4/45 (pow x 5))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* -4/45 (pow x 2))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 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 (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 4/45 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
((/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 (* x x) 2/3 -2 (* (/ -1 (- -1 (pow (tan x) 2))) (- 1 (pow (tan x) 2))) (/ -1 (- -1 (pow (tan x) 2))) -1 (- -1 (pow (tan x) 2)) (pow (tan x) 2) 2 (- 1 (pow (tan x) 2)) (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))))
9.0ms
x
@inf
((/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 (* x x) 2/3 -2 (* (/ -1 (- -1 (pow (tan x) 2))) (- 1 (pow (tan x) 2))) (/ -1 (- -1 (pow (tan x) 2))) -1 (- -1 (pow (tan x) 2)) (pow (tan x) 2) 2 (- 1 (pow (tan x) 2)) (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))))
3.0ms
x
@0
((/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 (* x x) 2/3 -2 (* (/ -1 (- -1 (pow (tan x) 2))) (- 1 (pow (tan x) 2))) (/ -1 (- -1 (pow (tan x) 2))) -1 (- -1 (pow (tan x) 2)) (pow (tan x) 2) 2 (- 1 (pow (tan x) 2)) (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))))

rewrite248.0ms (7.2%)

Memory
-5.6MiB live, 285.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121916
03701687
118381614
082201548
1245271548
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
110 → 484
Calls
Call 1
Inputs
(/.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))
(tan.f64 x)
x
(neg.f64 (tan.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#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 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
(*.f64 x x)
#s(literal 2/3 binary64)
#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) (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))))
#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))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.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)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#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 (* -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 (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 (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 (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 (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* 2/3 (pow x 2)) 2))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -4/45 (pow x 2)))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #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 (pow x 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* 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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (/ (+ (* (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 (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#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 (* (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 (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -4/45 (pow x 5))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* -4/45 (pow x 2))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 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 (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 4/45 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 1 (pow x 2))))))))
Outputs
(*.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) (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) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (+.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 2 binary64))) (neg.f64 (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 (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) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.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) (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 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (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))))
(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))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (*.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.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 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) (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 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 (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))))
(neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.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))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
x
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(neg.f64 (tan.f64 x))
(tan.f64 (neg.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 (neg.f64 x) (PI.f64)))
(tan.f64 (neg.f64 x))
#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 2 binary64)
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fabs.f64 x)) (sin.f64 (fabs.f64 x))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(fabs.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fabs.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 x x))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (fabs.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 2)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (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 (neg (tan x)) (neg.f64 x))
#s(approx (neg (tan x)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (neg (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 (neg (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 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (* (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 (* (tan x) (tan x)) (*.f64 x x))
#s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) x))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* -4/45 (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64))
#s(approx (- -1 (pow (tan x) 2)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- -1 (pow (tan x) 2)) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (- -1 (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (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 (pow (tan x) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (tan x) (tan.f64 x))
#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 (* (tan x) (tan x)) (pow.f64 (tan.f64 x) #s(literal 2 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 (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal -4/45 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -4/45 binary64)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -4/45 binary64)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -4/45 (* x x)) 2/3) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))
#s(approx (+ (* -4/45 (* x x)) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (*.f64 x x)))
#s(approx (/ -1 (- -1 (pow (tan x) 2))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- -1 (pow (tan x) 2)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (- 1 (pow (tan x) 2)) (-.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)))) (/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (neg.f64 (*.f64 (-.f64 #s(literal 4/45 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (neg.f64 (*.f64 (+.f64 #s(literal 4/45 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))

eval50.0ms (1.5%)

Memory
5.8MiB live, 146.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 227 to 1 557 computations (63.2% saved)

prune48.0ms (1.4%)

Memory
-11.1MiB live, 86.6MiB allocated; 3ms collecting garbage
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New35919378
Fresh5813
Picked235
Done000
Total36630396
Accuracy
99.9%
Counts
396 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(/.f64 (fma.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 binary64) (+.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))))
▶99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.9%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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)))))
99.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (-.f64 #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))) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.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)))) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.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)))) #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)))))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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))))) (fma.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)))) #s(literal 1 binary64)))
99.4%
(/.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)))
47.2%
(/.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))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fma.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)))) #s(literal 1 binary64)))
45.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
98.9%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
44.8%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
45.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
47.2%
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
44.7%
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
▶45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
▶8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
✓50.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 191 to 876 computations (26.4% saved)

series22.0ms (0.6%)

Memory
21.7MiB live, 69.1MiB allocated; 2ms collecting garbage
Counts
45 → 88
Calls
Call 1
Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(tan.f64 x)
x
(neg.f64 (tan.f64 x))
#s(literal 1 binary64)
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x)
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
(-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64))
(+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 4/45 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.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)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.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 binary64) (+.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))))
(fma.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 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(neg.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 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
Outputs
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 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 (+ (* (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 (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 (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 (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* 2/3 (pow x 2)) 2))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 6))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* 2/3 (pow x 4))) (pow x 6))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2))))) (pow x 6))))
#s(approx (/ 2/3 (* x x)) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (/ 2 (* (* x x) (* x x))) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 -1))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #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 (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -4/45 (pow x 5))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 -4/45))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) 4/45)))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 4/45)))
#s(approx (+ (pow x -6) (/ 2/3 (* x x))) #s(hole binary64 (/ (+ 2/3 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 4/45 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) -2 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (+ (pow x -6) (/ 2/3 (* x x))) (pow x -6) -6 (/ 2/3 (* x x)) 2/3 (* x x) 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))
7.0ms
x
@-inf
((/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) -2 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (+ (pow x -6) (/ 2/3 (* x x))) (pow x -6) -6 (/ 2/3 (* x x)) 2/3 (* x x) 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))
4.0ms
x
@0
((/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (+ (* (tan x) (neg (tan x))) 1) (tan x) x (neg (tan x)) 1 (- (pow (tan x) 2) -1) (pow (tan x) 2) 2 -1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) -2 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (+ (pow x -6) (/ 2/3 (* x x))) (pow x -6) -6 (/ 2/3 (* x x)) 2/3 (* x x) 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))

rewrite288.0ms (8.4%)

Memory
28.4MiB live, 347.1MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612677
04362281
122322152
088911981
1270351981
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
133 → 618
Calls
Call 1
Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(tan.f64 x)
x
(neg.f64 (tan.f64 x))
#s(literal 1 binary64)
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x)
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
(-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64))
(+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 4/45 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.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)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.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 binary64) (+.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))))
(fma.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 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(neg.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 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 1))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 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 (+ (* (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 (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 (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 (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -2 x)))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* 2/3 (pow x 2)) 2))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 6))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 6))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* 2/3 (pow x 4))) (pow x 6))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2))))) (pow x 6))))
#s(approx (/ 2/3 (* x x)) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (/ 2 (* (* x x) (* x x))) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 -1))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) #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 (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (- (pow (tan x) 2) -1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -4/45 (pow x 5))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* (pow x 5) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 -4/45))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) 4/45)))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 4/45)))
#s(approx (+ (pow x -6) (/ 2/3 (* x x))) #s(hole binary64 (/ (+ 2/3 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (neg (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 4/45 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 4/45 (/ 2 (pow x 4))) (* 2/3 (/ 1 (pow x 2))))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (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 (-.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) (-.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 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.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 (-.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 (neg.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 (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.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 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) (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 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 (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))))
(neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.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))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
x
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(neg.f64 (tan.f64 x))
(tan.f64 (neg.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 (neg.f64 x) (PI.f64)))
(tan.f64 (neg.f64 x))
#s(literal 1 binary64)
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#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)))
#s(approx (+ (pow x -6) (/ 2/3 (* x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#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) -1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#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 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (neg.f64 (*.f64 (-.f64 #s(literal 4/45 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) (neg.f64 (*.f64 (+.f64 #s(literal 4/45 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))

eval129.0ms (3.8%)

Memory
-40.8MiB live, 156.5MiB allocated; 45ms collecting garbage
Compiler

Compiled 7 327 to 2 690 computations (63.3% saved)

prune40.0ms (1.2%)

Memory
-3.5MiB live, 91.3MiB allocated; 3ms collecting garbage
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New57215587
Fresh41822
Picked325
Done033
Total57938617
Accuracy
99.9%
Counts
617 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 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 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶99.2%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 (cos.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 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.0%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.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)))
98.9%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (-.f64 #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))) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.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))))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.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)))) #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)))))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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))))) (fma.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)))) #s(literal 1 binary64)))
99.4%
(/.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)))
▶47.2%
(/.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))))
45.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
98.9%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
44.8%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
45.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
47.2%
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
44.7%
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.3%
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
7.8%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
▶8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
7.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
✓50.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 693 to 1 299 computations (23.3% saved)

series33.0ms (1%)

Memory
10.0MiB live, 59.9MiB allocated; 3ms collecting garbage
Counts
53 → 90
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.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(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))
(*.f64 #s(approx (tan x) x) #s(approx (tan x) x))
#s(approx (tan x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
#s(literal 4/45 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
(fma.f64 (/.f64 #s(literal 1 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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))
(-.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))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
Outputs
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (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 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 6))))
#s(approx (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* 2/3 (pow x 4))) (pow x 6))))
#s(approx (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2))))) (pow x 6))))
#s(approx (/ 1 (* (* (* x x) x) x)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ 2/3 (* x x)) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (/ 2 (* (* x x) (* x x))) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (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)))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 -4/45))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) 4/45)))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 4/45)))
#s(approx (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) #s(hole binary64 (/ (+ 2/3 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (/ (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (* 2 x)) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 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 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (cos 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))))))
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 1 (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) (/ 2/3 (* x x)) 2/3 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) (/ (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (/ -1 (cos x)) -1 (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (- (pow (tan x) 2) -1))
10.0ms
x
@inf
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 1 (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) (/ 2/3 (* x x)) 2/3 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) (/ (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (/ -1 (cos x)) -1 (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (- (pow (tan x) 2) -1))
5.0ms
x
@0
((/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (* (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) (* x x))) (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 1 (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) (/ 2/3 (* x x)) 2/3 4/45 (/ 2 (* (* x x) (* x x))) (* (* x x) (* x x)) (* (* (* x x) (* x x)) (* x x)) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) (/ (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (/ -1 (cos x)) -1 (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (- (pow (tan x) 2) -1))

rewrite235.0ms (6.9%)

Memory
22.2MiB live, 256.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04123289
04972489
127712038
086221908
1245301908
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
143 → 893
Calls
Call 1
Inputs
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#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
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#s(approx (tan x) x)
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#s(literal 2/3 binary64)
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(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
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#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
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#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
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#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)))))
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#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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
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#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)))))
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#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* -2 (pow x 2))) (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (pow x 6))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (pow x 6))))
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#s(approx (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (/ (+ 1 (* (pow x 4) (+ 2/3 (* -4/45 (pow x 2))))) (pow x 6))))
#s(approx (/ 1 (* (* (* x x) x) x)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ 2/3 (* x x)) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (/ 2 (* (* x x) (* x x))) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (tan x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (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)))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 -4/45))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) 4/45)))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4))))))
#s(approx (- (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) 4/45) #s(hole binary64 (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 4/45)))
#s(approx (+ (/ (/ 1 (* (* (* x x) x) x)) (* x x)) (/ 2/3 (* x x))) #s(hole binary64 (/ (+ 2/3 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (/ (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (cos x) 2))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) #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 (* 2 x)) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 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 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) (- (pow (tan x) 2) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ -1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow (cos x) 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (cos 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))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (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 (-.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) (-.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 (-.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 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #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 (neg.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 (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (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) (-.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.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 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 (fma.f64 #s(literal 2 binary64) (cos.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 x) (*.f64 #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))) (cos.f64 x))))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 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 (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))))
(neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 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 #s(literal -1 binary64) (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))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.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)))
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.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 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (fabs.f64 (fabs.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
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#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ -1 (cos x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 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 (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (cos x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)))
#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)))

eval95.0ms (2.8%)

Memory
-15.7MiB live, 172.1MiB allocated; 17ms collecting garbage
Compiler

Compiled 10 015 to 3 551 computations (64.5% saved)

prune57.0ms (1.7%)

Memory
14.8MiB live, 109.2MiB allocated; 2ms collecting garbage
Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New62014634
Fresh42428
Picked415
Done055
Total62844672
Accuracy
99.9%
Counts
672 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 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 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 (cos.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 (fma.f64 (tan.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.9%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
99.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (-.f64 #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))) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
45.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.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)))) #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)))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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))))) (fma.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)))) #s(literal 1 binary64)))
99.4%
(/.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)))
47.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
45.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
47.2%
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
98.9%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
44.8%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
45.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
47.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
44.7%
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.3%
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
99.0%
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
✓45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
45.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
7.8%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
✓8.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
7.6%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
✓50.1%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 908 to 1 152 computations (39.6% saved)

regimes92.0ms (2.7%)

Memory
-12.9MiB live, 132.4MiB allocated; 25ms collecting garbage
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #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(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 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 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))) (fma.f64 (/.f64 #s(literal 1 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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fma.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)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.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))) (fma.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))))) (pow.f64 (sin.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))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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))))) (fma.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)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal -1 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))) (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 (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))))
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

31.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
26.0ms
x
16.0ms
(tan.f64 x)
15.0ms
(/.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)

regimes34.0ms (1%)

Memory
13.7MiB live, 59.3MiB allocated; 3ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #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(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
Outputs
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

10.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
8.0ms
x
8.0ms
(tan.f64 x)
7.0ms
(/.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
99.4%1(tan.f64 x)
99.4%1(*.f64 (tan.f64 x) (tan.f64 x))
99.4%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))))
99.4%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes39.0ms (1.2%)

Memory
4.3MiB live, 49.1MiB allocated; 14ms 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))) (+ 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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #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(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) x) (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(*.f64 #s(approx (/ -1 (- -1 (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- -1 (pow (tan x) 2)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

18.0ms
(tan.f64 x)
7.0ms
x
7.0ms
(/.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
55.0%1x
55.0%1(tan.f64 x)
55.0%1(*.f64 (tan.f64 x) (tan.f64 x))
55.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes30.0ms (0.9%)

Memory
-13.4MiB live, 32.3MiB allocated; 6ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 #s(approx (- (- (+ (pow x -6) (/ 2/3 (* x x))) 4/45) (/ 2 (* (* x x) (* x x)))) (pow.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) x) x) 1) (*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -4/45 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 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) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))))
Calls

4 calls:

16.0ms
x
5.0ms
(tan.f64 x)
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
50.1%1x
52.6%2(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
52.6%2(*.f64 (tan.f64 x) (tan.f64 x))
50.1%1(tan.f64 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* 1/2 (cos (* 2 x))))) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
52.6%2(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Accuracy

Total -3.6b remaining (-11.1%)

Threshold costs -3.6b (-11.1%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (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 #s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(/.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))))
1.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
50.1%1x
50.1%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))))
50.1%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.947056615343303
1.0289501118250757
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.947056615343303
1.0289501118250757
Compiler

Compiled 13 to 11 computations (15.4% saved)

derivations330.0ms (9.7%)

Memory
-15.7MiB live, 316.6MiB allocated; 28ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 75 to 39 computations (48% saved)

preprocess41.0ms (1.2%)

Memory
11.4MiB live, 105.0MiB allocated; 4ms collecting garbage
Remove

(abs x)

Compiler

Compiled 315 to 206 computations (34.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...