cos2 (problem 3.4.1)

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.3s (63.6%)

Memory
-79.4MiB live, 1 723.0MiB allocated; 1.4s collecting garbage
Samples
1.2s2 239×2valid
303.0ms4 155×0valid
297.0ms662×3valid
244.0ms1 200×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-cos: 1.5s (80.6% of total)
adjust: 145.0ms (7.6% of total)
ival-div!: 105.0ms (5.5% of total)
ival-mult!: 74.0ms (3.9% of total)
ival-sub!: 46.0ms (2.4% of total)
Bogosity

preprocess34.0ms (0.9%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
15024
215824
337324
495524
5294124
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series10.0ms (0.3%)

Memory
-36.2MiB live, 8.2MiB allocated; 8ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms
x
@inf
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms
x
@0
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

rewrite100.0ms (2.7%)

Memory
36.4MiB live, 124.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1328264
03031246
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 81
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (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)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 binary64) (neg.f64 (cos.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 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.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)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval6.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 583 to 261 computations (55.2% saved)

prune13.0ms (0.4%)

Memory
-43.7MiB live, 13.3MiB allocated; 6ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New651277
Fresh000
Picked011
Done000
Total651378
Accuracy
100.0%
Counts
78 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
48.4%
(/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
50.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
48.3%
(/.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
48.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
21.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
48.8%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
52.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 276 to 258 computations (6.5% saved)

series7.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
20 → 57
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)))
2.0ms
x
@-inf
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)))
1.0ms
x
@0
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)))

rewrite195.0ms (5.3%)

Memory
21.6MiB live, 158.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01601088
01811014
17291010
06306982
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
77 → 414
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
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(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)
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(neg.f64 (cos.f64 x))
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(cos.f64 (+.f64 (PI.f64) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(approx (neg (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
#s(approx (neg (cos x)) (neg.f64 (cos.f64 x)))

eval99.0ms (2.7%)

Memory
-9.1MiB live, 51.3MiB allocated; 75ms collecting garbage
Compiler

Compiled 3 253 to 1 271 computations (60.9% saved)

prune22.0ms (0.6%)

Memory
-12.9MiB live, 36.7MiB allocated; 9ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New38911400
Fresh257
Picked145
Done011
Total39221413
Accuracy
100.0%
Counts
413 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
24.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
48.7%
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
49.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
50.3%
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
49.9%
(/.f64 (/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) x) x)
48.7%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
48.4%
(/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
50.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
14.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
48.3%
(/.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
48.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.8%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
52.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
52.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
26.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 403 to 384 computations (4.7% saved)

series22.0ms (0.6%)

Memory
-4.8MiB live, 41.1MiB allocated; 4ms collecting garbage
Counts
34 → 126
Calls
Call 1
Inputs
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x 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))))
(*.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #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 (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (/ (- 1 (cos x)) x) x) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) x 1/720 -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (cos x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
5.0ms
x
@inf
((/ (/ (- 1 (cos x)) x) x) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) x 1/720 -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (cos x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
4.0ms
x
@0
((/ (/ (- 1 (cos x)) x) x) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) x 1/720 -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (cos x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

rewrite173.0ms (4.7%)

Memory
11.6MiB live, 241.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03432723
03892393
115612377
083322285
Stop Event
iter-limit
node-limit
iter-limit
Counts
160 → 790
Calls
Call 1
Inputs
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x 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))))
(*.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #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 (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x))))))
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(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 x x (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 #s(literal -1/24 binary64) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1 x) x)
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (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)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* 1 x) x)
#s(approx (* x (cos x)) x)
#s(approx (* x (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x (cos x)) (*.f64 (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)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 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 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#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 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (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 2 binary64)) (*.f64 x x)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (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 2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 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 (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (neg.f64 (*.f64 (+.f64 #s(literal 1/40320 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval63.0ms (1.7%)

Memory
15.0MiB live, 113.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 377 to 2 522 computations (65.8% saved)

prune23.0ms (0.6%)

Memory
-0.2MiB live, 46.3MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New63410644
Fresh4711
Picked235
Done055
Total64025665
Accuracy
100.0%
Counts
665 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
48.7%
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
49.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
15.2%
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.9%
(/.f64 (/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) x) x)
48.7%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
48.7%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
50.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
18.8%
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
14.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
40.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
48.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.4%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
26.0%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))
49.6%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
48.8%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
52.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
52.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
26.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 460 to 432 computations (6.1% saved)

series16.0ms (0.4%)

Memory
-18.6MiB live, 28.2MiB allocated; 2ms collecting garbage
Counts
34 → 119
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) x) x)
(/.f64 (/.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 (cos.f64 x) #s(literal 1 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 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
#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 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* 1/2 x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #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 (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) 1 (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ (cos x) 1) (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (+ (* -1/2 (* x x)) 1) x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)))
5.0ms
x
@-inf
((/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) 1 (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ (cos x) 1) (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (+ (* -1/2 (* x x)) 1) x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)))
3.0ms
x
@0
((/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) 1 (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 x (+ (cos x) 1) (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (+ (* -1/2 (* x x)) 1) x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)))

rewrite196.0ms (5.4%)

Memory
21.3MiB live, 299.7MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122562
03622145
114172128
084672014
Stop Event
iter-limit
node-limit
iter-limit
Counts
153 → 786
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) x) x)
(/.f64 (/.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 (cos.f64 x) #s(literal 1 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 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
#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 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* 1/2 x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #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 (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 (pow x 2)))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 (/.f64 x (*.f64 (*.f64 x x) x)) (/.f64 x x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) (cos.f64 x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 (fabs.f64 x) x) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 x) x) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (*.f64 (*.f64 x x) x)) (/.f64 x x) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x x) (/.f64 x (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
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(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))))
(neg.f64 (-.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(*.f64 (*.f64 x x) (cos.f64 x))
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(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
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#s(approx (/ (- 1 (cos x)) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.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)) x))
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#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
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#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 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 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#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 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx x x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (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 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (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)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.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)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.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(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #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(approx (* (* 1/2 x) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (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)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.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)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (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)) x))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
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#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (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)) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (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)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (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))))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 (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)) (*.f64 x x)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 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 (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 x x) (cos.f64 x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (+ (* -1/2 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))

eval70.0ms (1.9%)

Memory
-1.9MiB live, 86.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 259 to 3 062 computations (62.9% saved)

prune29.0ms (0.8%)

Memory
-18.2MiB live, 39.4MiB allocated; 4ms collecting garbage
Pruning

28 alts after pruning (16 fresh and 12 done)

PrunedKeptTotal
New7777784
Fresh3912
Picked145
Done088
Total78128809
Accuracy
100.0%
Counts
809 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
48.7%
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
49.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
15.2%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
50.0%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
48.7%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
48.7%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
50.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
18.8%
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) x))) x)
14.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
40.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
48.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
12.2%
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
26.0%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))
48.7%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
48.8%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
52.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
52.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
26.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
48.4%
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
Compiler

Compiled 650 to 486 computations (25.2% saved)

regimes21.0ms (0.6%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (-.f64 (cos.f64 x) #s(literal -1 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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.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 (cos.f64 x) #s(literal 1 binary64))) x) x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

10.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
77.9%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) x))) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.3%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-42.2MiB live, 4.4MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
75.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
74.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
53.4%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch10.0ms (0.3%)

Memory
7.6MiB live, 7.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.0599358916776772
1.1132543393730803
Samples
4.0ms112×0valid
Compiler

Compiled 172 to 178 computations (-3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 1.0ms (41.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0599358916776772
1.1132543393730803
Compiler

Compiled 172 to 178 computations (-3.5% saved)

bsearch12.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.1132543393730803
27.714931106704
Samples
7.0ms112×0valid
Compiler

Compiled 207 to 206 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (80.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
2.741411384757474e+20
5.3611431002822876e+20
Samples
4.0ms64×0valid
Compiler

Compiled 111 to 110 computations (0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 2.0ms (63.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory
-35.3MiB live, 10.8MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.1350871730424116e+36
1.2071690378337509e+39
Samples
10.0ms128×0valid
Compiler

Compiled 179 to 186 computations (-3.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (69% of total)
ival-mult!: 1.0ms (17.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch15.0ms (0.4%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3.410000036906681e+76
9.629989843441584e+83
Samples
9.0ms144×0valid
Compiler

Compiled 146 to 163 computations (-11.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (76.8% of total)
ival-mult!: 1.0ms (15.4% of total)
ival-div!: 1.0ms (15.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations81.0ms (2.2%)

Memory
-4.1MiB live, 41.4MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 71 to 51 computations (28.2% saved)

preprocess59.0ms (1.6%)

Memory
-2.2MiB live, 91.4MiB allocated; 9ms collecting garbage
Remove

(abs x)

Compiler

Compiled 387 to 337 computations (12.9% saved)

end0.0ms (0%)

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

Profiling

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