Trigonometry B

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze123.0ms (3.3%)

Memory
14.0MiB live, 112.8MiB allocated; 18ms 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 (28.2%)

Memory
-3.7MiB live, 791.1MiB allocated; 142ms collecting garbage
Samples
802.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 547.0ms
ival-tan: 359.0ms (65.6% of total)
ival-mult!: 92.0ms (16.8% of total)
ival-div!: 56.0ms (10.2% of total)
ival-sub!: 20.0ms (3.7% of total)
ival-add!: 20.0ms (3.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess38.0ms (1%)

Memory
-0.3MiB live, 44.4MiB 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
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series6.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB 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))))

rewrite240.0ms (6.5%)

Memory
8.1MiB live, 164.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113502
0123470
1772430
27413430
08516403
126575403
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)))

eval54.0ms (1.5%)

Memory
-21.6MiB live, 24.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 894 to 528 computations (72.1% saved)

prune24.0ms (0.6%)

Memory
0.1MiB live, 47.4MiB allocated; 12ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New11222134
Fresh000
Picked101
Done000
Total11322135
Accuracy
99.9%
Counts
135 → 22
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))))
99.3%
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.0%
(/.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))))
99.5%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (*.f64 #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)))))))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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)))))))
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)))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
47.4%
(/.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))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))))
48.4%
(/.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))))
▶46.1%
(/.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))))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.5%
#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)))
46.5%
#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)))
46.5%
#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)))
▶50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 810 to 534 computations (34.1% saved)

series30.0ms (0.8%)

Memory
8.1MiB live, 51.0MiB allocated; 10ms collecting garbage
Counts
39 → 89
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
(*.f64 x x)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
(+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (tan.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (/.f64 #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 #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)
#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 (/.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))))))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 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 (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* -1/3 (pow x 2)) 1)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)))))
#s(approx (+ 1/2 (* 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 (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 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 (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (/ (sin x) (cos x)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (- 1 (/ (sin x) (cos x)))))
#s(approx (/ (- 1 (* (/ 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))))))) #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 (+ 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 (+ 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 (+ 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 (* (/ 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 (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (/ 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 (* (/ 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))) (cos (* 2 x)) (* 2 x) 2 (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))))))
8.0ms
x
@inf
((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (/ 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 (* (/ 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))) (cos (* 2 x)) (* 2 x) 2 (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))))))
4.0ms
x
@0
((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) 1 (* (tan x) (tan x)) (tan x) x (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (+ 1 (* (tan x) (tan x))) (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (tan x)) (- 1 (tan x)) (+ 1 (* (tan x) (tan x))) (/ (- 1 (* (/ 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 (* (/ 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))) (cos (* 2 x)) (* 2 x) 2 (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))))))

rewrite255.0ms (6.9%)

Memory
38.5MiB live, 268.1MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03522702
04162324
121332238
083532157
1258552157
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
128 → 474
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
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#s(literal 62/315 binary64)
(*.f64 x x)
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (tan.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (/.f64 #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 #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)
#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 (/.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(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 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 (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* -1/3 (pow x 2)) 1)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)))))
#s(approx (+ 1/2 (* 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 (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 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 (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x)))) #s(hole binary64 (/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ 1 (tan x)) (- 1 (tan x))) #s(hole binary64 (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))))
#s(approx (+ 1 (tan x)) #s(hole binary64 (+ 1 (/ (sin x) (cos x)))))
#s(approx (- 1 (tan x)) #s(hole binary64 (- 1 (/ (sin x) (cos x)))))
#s(approx (/ (- 1 (* (/ 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))))))) #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 (+ 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 (+ 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 (+ 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 (* (/ 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 (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
Outputs
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #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 (*.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (/.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 (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 (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) (tan.f64 x)) (+.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 (*.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)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.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 #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 (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 1/2 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 (/.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 (tan.f64 x) (tan.f64 x))
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(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 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (*.f64 (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 (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 (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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.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 #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 (fma.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 (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 1/2 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 (/.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))))
(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 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.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 (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 (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 (/.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 (tan.f64 x) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.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 #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))))
(+.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 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (+.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)) (neg.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 (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)))
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#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 (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(literal 17/45 binary64))
#s(approx (+ (* 62/315 (* x x)) 17/45) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))
#s(approx (+ 1 (tan x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ 1 (tan x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 (tan x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (tan x)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (tan x)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (tan x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (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))) (+ (* (tan x) (tan x)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (* (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 (+ (* (tan x) (tan x)) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))
#s(approx (+ (* 62/315 (* x x)) 17/45) (*.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (* (tan x) (tan x))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (+ 1 (tan x)) (+.f64 (tan.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (tan x)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (* (tan x) (tan x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (tan x) (tan x)) (pow.f64 (tan.f64 x) #s(literal 2 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 (+ (* (tan x) (tan x)) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 62/315 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval91.0ms (2.5%)

Memory
-26.2MiB live, 124.2MiB allocated; 27ms collecting garbage
Compiler

Compiled 7 647 to 2 189 computations (71.4% saved)

prune27.0ms (0.7%)

Memory
10.9MiB live, 57.6MiB allocated; 3ms collecting garbage
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New35519374
Fresh9817
Picked325
Done000
Total36729396
Accuracy
99.9%
Counts
396 → 29
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))))
99.3%
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶98.9%
(/.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))))
▶99.5%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(/.f64 (-.f64 (*.f64 #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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 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)))))))
99.0%
(/.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 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.5%
(/.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.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 #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) (+.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)))) (+.f64 #s(literal 1 binary64) (*.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)))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.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)))
47.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
48.4%
(/.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)))
✓46.1%
(/.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))))
99.2%
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
98.9%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.1%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
99.3%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan 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)))
▶46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
99.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 044 to 747 computations (28.4% saved)

series54.0ms (1.5%)

Memory
-16.9MiB live, 29.7MiB allocated; 3ms collecting garbage
Counts
32 → 79
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 (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 (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(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(fma.f64 (/.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 #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)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.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 (*.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 (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 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* -1/2 (pow x 2)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/90 (pow x 2)) 1/3)) 1/2)))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 3/2))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* 1/2 (pow x 2)))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (pow x 2)))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) #s(hole binary64 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1/2 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) #s(hole binary64 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) #s(hole binary64 (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1/2 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2))) (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2)) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)))
7.0ms
x
@inf
((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2))) (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2)) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)))
2.0ms
x
@0
((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) 1 (pow (tan x) 2) (tan x) x 2 (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2))) (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2)) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)))

rewrite350.0ms (9.5%)

Memory
-12.3MiB live, 190.4MiB allocated; 167ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03182225
03761682
121361563
088081480
1256201480
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
111 → 508
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (-.f64 (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 (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(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(fma.f64 (/.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 #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)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.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 (*.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 (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 1/2 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)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* -1/2 (pow x 2)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/90 (pow x 2)) 1/3)) 1/2)))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 3/2))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* 1/2 (pow x 2)))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 3/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (pow x 2)))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (pow (tan x) 2)) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (- (pow (tan x) 2) 1) (- -1 (pow (tan x) 2))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (pow (tan x) 2) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (- -1 (pow (tan x) 2)) #s(hole binary64 (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) #s(hole binary64 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1/2 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (/ (- (pow (tan x) 2) 1) (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1))) #s(hole binary64 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) #s(hole binary64 (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1/2 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
Outputs
(*.f64 (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #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))))
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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))))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.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))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (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 (pow (tan x) 2) (*.f64 x x))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (tan x) 2) 1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (pow (tan x) 2) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (- (pow (tan x) 2) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.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 (* (cos (+ x x)) 1/2)) (*.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 (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/90 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) #s(literal 3/2 binary64))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 3/2 binary64)))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/90 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 3/2 binary64)))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/90 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (pow (tan x) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (pow (tan x) 2) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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)))))
#s(approx (- (pow (tan x) 2) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (* (cos (+ x x)) 1/2))) 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 (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (-.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)))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (* (cos (+ x x)) 1/2))) 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 (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (- (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (* (cos (+ x x)) 1/2) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) 1) (-.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)))
#s(approx (/ 1/2 (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))

eval127.0ms (3.4%)

Memory
12.0MiB live, 163.1MiB allocated; 26ms collecting garbage
Compiler

Compiled 7 579 to 2 103 computations (72.3% saved)

prune38.0ms (1%)

Memory
-10.3MiB live, 92.8MiB allocated; 9ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New54520565
Fresh91322
Picked235
Done112
Total55737594
Accuracy
99.9%
Counts
594 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.0%
(/.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
▶99.3%
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
99.0%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
98.9%
(/.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))))
98.9%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓99.5%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.7%
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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))))
99.3%
(/.f64 (-.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 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 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))))
99.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
▶99.5%
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
46.1%
(/.f64 (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
▶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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
47.4%
(/.f64 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
98.9%
(/.f64 (-.f64 #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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.0%
(/.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 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (+.f64 #s(literal 1 binary64) (*.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)))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
48.4%
(/.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)))
99.2%
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
51.1%
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
▶46.1%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
99.3%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
99.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan 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))))
25.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
▶2.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 1 340 to 1 004 computations (25.1% saved)

series25.0ms (0.7%)

Memory
10.5MiB live, 54.9MiB allocated; 5ms collecting garbage
Counts
50 → 126
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(tan.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) 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))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 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)
(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 #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)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))
(neg.f64 (tan.f64 x))
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
Outputs
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 1))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 -1))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (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 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 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 (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))))
#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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos 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 (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (cos x)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ 1 (cos x)) #s(hole binary64 (/ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (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 (- 1/2 (* (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
10.0ms
x
@inf
((/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (- (sqrt (pow (tan x) 4)) 1) (sqrt (pow (tan x) 4)) (pow (tan x) 4) (tan x) x 4 1 (- -1 (sqrt (pow (tan x) 4))) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (* (- 1 (* (tan x) (tan x))) (/ 1 (+ (* (tan x) (tan x)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) 62/315 17/45 2/3 (/ 1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) 2 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (* (neg (tan x)) (sin x)) (neg (tan x)) (sin x) (/ 1 (cos x)) (cos x) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))
8.0ms
x
@-inf
((/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (- (sqrt (pow (tan x) 4)) 1) (sqrt (pow (tan x) 4)) (pow (tan x) 4) (tan x) x 4 1 (- -1 (sqrt (pow (tan x) 4))) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (* (- 1 (* (tan x) (tan x))) (/ 1 (+ (* (tan x) (tan x)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) 62/315 17/45 2/3 (/ 1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) 2 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (* (neg (tan x)) (sin x)) (neg (tan x)) (sin x) (/ 1 (cos x)) (cos x) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))
4.0ms
x
@0
((/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (- (sqrt (pow (tan x) 4)) 1) (sqrt (pow (tan x) 4)) (pow (tan x) 4) (tan x) x 4 1 (- -1 (sqrt (pow (tan x) 4))) -1 (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) -2 (* (- 1 (* (tan x) (tan x))) (/ 1 (+ (* (tan x) (tan x)) 1))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) 62/315 17/45 2/3 (/ 1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) 2 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2) (cos (+ x x)) (+ x x) 1/2 (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (* (neg (tan x)) (sin x)) (neg (tan x)) (sin x) (/ 1 (cos x)) (cos x) (+ 1 (* (tan x) (tan x))) (* (tan x) (tan x)))

rewrite249.0ms (6.8%)

Memory
20.7MiB live, 294.0MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05263418
05993034
132312918
092372796
1260952796
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
176 → 765
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(tan.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(literal -1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64)))
(+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) 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))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 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)
(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 #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)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))
(neg.f64 (tan.f64 x))
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 1))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 -1))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (pow x 4)))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (pow (tan x) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (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 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 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 (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))))
#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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) #s(hole binary64 (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (sqrt (pow (tan x) 4)) 1) #s(hole binary64 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))
#s(approx (sqrt (pow (tan x) 4)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (pow (tan x) 4) #s(hole binary64 (/ (pow (sin x) 4) (pow (cos x) 4))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- -1 (sqrt (pow (tan x) 4))) #s(hole binary64 (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (- 1 (* (tan x) (tan x))) #s(hole binary64 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) #s(hole binary64 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (tan x) (tan x)) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos 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 (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (neg (tan x)) (sin x)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (cos x)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ 1 (cos x)) #s(hole binary64 (/ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ 1 (+ (* (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 (- 1/2 (* (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 (-.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))))
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#s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64))
#s(approx (+ (* (* x x) 62/315) 17/45) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) (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 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.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 (* (cos (+ x x)) 1/2)) (*.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 (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (neg (tan x)) (sin x)) (neg.f64 (*.f64 x x)))
#s(approx (* (neg (tan x)) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (* (neg (tan x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal -31/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (* (neg (tan x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -173/5040 binary64) (*.f64 x x) #s(literal -31/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (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 (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cos x)) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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))))))
#s(approx (- (sqrt (pow (tan x) 4)) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (pow (tan x) 4)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (pow (tan x) 4) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))
#s(approx (tan x) (tan.f64 x))
#s(approx (- -1 (sqrt (pow (tan x) 4))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (* x x) 62/315) 17/45) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))
#s(approx (+ (* (* x x) 62/315) 17/45) (*.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (/.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 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (/.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 (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (* (neg (tan x)) (sin x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 x))))
#s(approx (neg (tan x)) (neg.f64 (tan.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ 1 (cos x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 62/315 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (/.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 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 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 (- 1/2 (* (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)))

eval84.0ms (2.3%)

Memory
-16.1MiB live, 179.9MiB allocated; 34ms collecting garbage
Compiler

Compiled 9 155 to 2 923 computations (68.1% saved)

prune51.0ms (1.4%)

Memory
-3.8MiB live, 96.1MiB allocated; 10ms collecting garbage
Pruning

48 alts after pruning (40 fresh and 8 done)

PrunedKeptTotal
New52315538
Fresh32528
Picked145
Done044
Total52748575
Accuracy
99.9%
Counts
575 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.0%
(/.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓99.3%
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.0%
(/.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
99.0%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
98.9%
(/.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))))
98.9%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓99.5%
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
45.7%
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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))))
99.3%
(/.f64 (-.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 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 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))))
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))))
99.5%
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓99.5%
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
55.3%
(/.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) #s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
98.8%
(/.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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
47.4%
(/.f64 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
98.9%
(/.f64 (-.f64 #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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.0%
(/.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 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (+.f64 #s(literal 1 binary64) (*.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)))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
48.4%
(/.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)))
46.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (-.f64 #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))
99.2%
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
51.1%
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.3%
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
46.5%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
46.5%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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))))
46.4%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
45.8%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
46.9%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
46.9%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
45.1%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
99.3%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
47.3%
(*.f64 #s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
46.5%
#s(approx (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
99.0%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan 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))))
25.3%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
✓2.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
46.5%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64)))
✓50.7%
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Compiler

Compiled 2 150 to 1 180 computations (45.1% saved)

regimes98.0ms (2.7%)

Memory
-23.4MiB live, 121.2MiB allocated; 9ms collecting garbage
Counts
77 → 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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))))
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(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
Outputs
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
Calls

4 calls:

20.0ms
x
18.0ms
(tan.f64 x)
18.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
18.0ms
(/.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)

regimes56.0ms (1.5%)

Memory
13.7MiB live, 59.6MiB allocated; 3ms collecting garbage
Counts
33 → 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (-.f64 #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 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 (tan.f64 x) (tan.f64 x))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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 #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) #s(approx (* (cos (+ x x)) 1/2) #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 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 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))))
Outputs
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

28.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
9.0ms
x
8.0ms
(tan.f64 x)
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Results
AccuracySegmentsBranch
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
99.5%1(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)

regimes52.0ms (1.4%)

Memory
-3.1MiB live, 43.6MiB allocated; 1ms 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (-.f64 #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 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 (tan.f64 x) (tan.f64 x))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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 #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) #s(approx (* (cos (+ x x)) 1/2) #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))))
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:

27.0ms
(tan.f64 x)
8.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
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)

regimes32.0ms (0.9%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
30 → 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (-.f64 #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 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 (tan.f64 x) (tan.f64 x))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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 #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) #s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
(/.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) #s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

4 calls:

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))))
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
55.3%1(*.f64 (tan.f64 x) (tan.f64 x))
55.3%1x
55.3%1(tan.f64 x)
55.3%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)

regimes84.0ms (2.3%)

Memory
-1.2MiB live, 44.7MiB allocated; 2ms collecting garbage
Counts
29 → 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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)) (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 (-.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 (* (cos (+ x x)) 1/2))) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 62/315 binary64))) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (-.f64 #s(approx (sqrt (pow (tan x) 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 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 (tan.f64 x) (tan.f64 x))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #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 (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (+ (* (* (neg (tan x)) (sin x)) (/ 1 (cos x))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #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) (*.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 #s(approx (- (pow (tan x) 2) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

60.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
7.0ms
x
7.0ms
(tan.f64 x)
7.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
52.9%2(tan.f64 x)
53.7%2(*.f64 (tan.f64 x) (tan.f64 x))
51.1%1x
53.7%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))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes31.0ms (0.8%)

Memory
-28.4MiB live, 20.2MiB allocated; 7ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (* (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))) (+ (* (tan x) (tan 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 (* (tan x) (tan x))) (+ (* (/ 1 (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2))) 1)) (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 (/ (- (sqrt (pow (tan x) 4)) 1) (- -1 (sqrt (pow (tan x) 4)))) (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 #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 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64))) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (tan x) (tan x)) #s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #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) (+.f64 #s(approx (* (tan x) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)) #s(literal 1 binary64))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (tan x) x) #s(approx (tan x) x))) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

2 calls:

25.0ms
(*.f64 (tan.f64 x) (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))))
Results
AccuracySegmentsBranch
53.3%2(*.f64 (tan.f64 x) (tan.f64 x))
53.3%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))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Accuracy

Total -31.2b remaining (-98.9%)

Threshold costs -31.2b (-98.9%)

Counts
4 → 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))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
(tan.f64 x)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
2.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
50.7%1x
50.7%1(tan.f64 x)
50.7%1(*.f64 (tan.f64 x) (tan.f64 x))
50.7%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)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.02239296684929718
0.016638691567823837
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.02239296684929718
0.016638691567823837
Compiler

Compiled 15 to 11 computations (26.7% saved)

derivations352.0ms (9.6%)

Memory
-11.8MiB live, 420.2MiB allocated; 40ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 86 to 55 computations (36% saved)

preprocess61.0ms (1.7%)

Memory
18.2MiB live, 157.1MiB allocated; 23ms collecting garbage
Remove

(abs x)

Compiler

Compiled 390 to 276 computations (29.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...