cos2 (problem 3.4.1)

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.9s (56.9%)

Memory
42.3MiB live, 1 885.1MiB allocated; 468ms collecting garbage
Samples
639.0ms2 187×2valid
431.0ms4 209×0valid
318.0ms681×3valid
216.0ms1 179×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 874.0ms (67.1% of total)
adjust: 213.0ms (16.4% of total)
ival-mult!: 88.0ms (6.8% of total)
ival-div!: 80.0ms (6.1% of total)
ival-sub!: 47.0ms (3.6% of total)
Bogosity

preprocess43.0ms (1.3%)

Memory
-17.4MiB live, 38.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01225
14625
211225
318725
440524
5195724
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms 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
1.0ms
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))

rewrite92.0ms (2.8%)

Memory
20.8MiB live, 67.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1312264
02707252
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 67
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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 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)))
(/.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 (-.f64 #s(literal 1 binary64) (pow.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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x 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 (-.f64 #s(literal 1 binary64) (pow.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 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.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))
#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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) 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))

eval5.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 469 to 231 computations (50.7% saved)

prune7.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New501161
Fresh000
Picked011
Done000
Total501262
Accuracy
99.9%
Counts
62 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (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 x x))
48.3%
(/.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))
49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
48.1%
(/.f64 (-.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 x x))
10.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
48.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)))
48.2%
(/.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)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 252 to 232 computations (7.9% saved)

series22.0ms (0.7%)

Memory
-26.6MiB live, 18.5MiB allocated; 4ms collecting garbage
Counts
26 → 84
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)
(/.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)
(/.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.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) (+.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 #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)))))
(+.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 (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 (+ (* (* 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 (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 x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* 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 (/ (- (* 1 (* 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 (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* 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 (- (* 1 (* 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 (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#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))
#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)) #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 (+ (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 (+ (* (* 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 (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 x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* 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 (+ 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)) #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))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
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 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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))
5.0ms
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 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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))
3.0ms
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 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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))

rewrite198.0ms (6%)

Memory
-4.4MiB live, 276.0MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02431798
02831483
111491445
088151385
Stop Event
iter-limit
node-limit
iter-limit
Counts
110 → 729
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)
(/.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)
(/.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.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) (+.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 #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)))))
(+.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 (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 (+ (* (* 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 (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 x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* 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 (/ (- (* 1 (* 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 (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* 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 (- (* 1 (* 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 (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#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))
#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)) #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 (+ (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 (+ (* (* 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 (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 x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* 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 (+ 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)) #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))))
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 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 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 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (*.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)))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 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 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1 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 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 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 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.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))))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (*.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))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 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 (*.f64 x x) #s(literal -1/24 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 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) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/24 binary64)
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) 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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) 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 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) (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 (cos.f64 x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 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 (cos.f64 x) #s(literal 1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x 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 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) 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 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
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(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(-.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
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(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal 2 binary64)
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
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(/.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)))
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(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
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(-.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))))
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(+.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 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.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)))
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#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 (* 1 (* x x)) (*.f64 x x))
#s(approx x 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 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (*.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 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
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#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)))
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#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 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
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#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) x))
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#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) (*.f64 x x)))
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.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) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (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)) x) x))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) 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 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#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 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) 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 (*.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)) 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 (*.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)) 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 (-.f64 (*.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 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 2 x) (+.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 (*.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 2 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 (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 (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 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)) (-.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)))

eval54.0ms (1.6%)

Memory
47.6MiB live, 139.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 514 to 2 315 computations (64.5% saved)

prune51.0ms (1.5%)

Memory
-36.2MiB live, 59.8MiB allocated; 59ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New57614590
Fresh426
Picked235
Done011
Total58220602
Accuracy
100.0%
Counts
602 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.5%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
75.3%
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
48.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #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)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
49.4%
(/.f64 (/.f64 (/.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))) x) x)
48.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
48.4%
(/.f64 (/.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 x x))
48.4%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
30.0%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
11.0%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
12.1%
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
75.6%
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 395 to 369 computations (6.6% saved)

series33.0ms (1%)

Memory
20.9MiB live, 65.9MiB allocated; 13ms collecting garbage
Counts
33 → 130
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
x
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 x x)
(/.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 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(/.f64 (/.f64 (/.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))) x) x)
(/.f64 (/.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))) x)
(/.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin 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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos x) -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 (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 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)) #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 (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 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 (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 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 (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 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 (* 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 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* 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) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* x 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) x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (cos x) x) 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 (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (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 (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 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 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))
6.0ms
x
@inf
((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))
3.0ms
x
@0
((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))

rewrite178.0ms (5.4%)

Memory
6.4MiB live, 143.5MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03772810
04312563
116782531
081042442
Stop Event
iter-limit
node-limit
iter-limit
Counts
163 → 440
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
x
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 x x)
(/.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 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(/.f64 (/.f64 (/.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))) x) x)
(/.f64 (/.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))) x)
(/.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin 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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos x) -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 (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 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)) #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 (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 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 (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 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 (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 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 (* 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 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* 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) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* x 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) x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (cos x) x) 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 (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (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 (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 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 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.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 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 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x x))))
(/.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 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.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 (/.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 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal -1 binary64)
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (sin.f64 x) (*.f64 x 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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (-.f64 (*.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 (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (- (cos x) -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 (-.f64 (*.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 (-.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.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 (*.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 (/ (sin x) (* x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x 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 (*.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 (*.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)) (*.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 (-.f64 (*.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 (-.f64 (*.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 (/ (/ (- x (* x (cos x))) (* x x)) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.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 (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.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))) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.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 (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- 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 (- x (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.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 (*.f64 x x) x)))
#s(approx (* (cos x) x) 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 (-.f64 (*.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 (-.f64 (*.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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (neg (* (* (cos x) x) x)) (neg.f64 (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (* (* (cos x) x) x) (*.f64 x x))
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (* (cos x) x) 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 (-.f64 (*.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 (-.f64 (*.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 (* (* (* x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (* (cos (+ x x)) 1/2)) (*.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))
#s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos x) -1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (sin x) (* x x)) (/.f64 (sin.f64 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 (/ (/ (- x (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- x (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- x (* x (cos 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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
#s(approx (* (* (cos x) x) x) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- x (* x (cos x))) (* x x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x))
#s(approx (- x (* x (cos x))) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval51.0ms (1.5%)

Memory
1.7MiB live, 88.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 5 528 to 1 898 computations (65.7% saved)

prune22.0ms (0.7%)

Memory
-2.4MiB live, 43.5MiB allocated; 3ms collecting garbage
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New47516491
Fresh6511
Picked325
Done044
Total48427511
Accuracy
100.0%
Counts
511 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
3.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
1.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
15.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))
26.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
15.1%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x)
49.4%
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
48.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
49.5%
(/.f64 (/.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)) x)) x)
30.0%
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
16.9%
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
2.3%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
38.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
75.6%
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
99.8%
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x)
12.1%
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
75.8%
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x)))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 593 to 557 computations (6.1% saved)

series33.0ms (1%)

Memory
-16.1MiB live, 41.4MiB allocated; 10ms collecting garbage
Counts
35 → 115
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x)
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)))
#s(approx (* (* (cos x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)
(*.f64 (*.f64 (cos.f64 x) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* 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) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* x 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) x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (cos x) x) 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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 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 (* (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 (* (cos x) x)) x) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- x (* (cos x) 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 (/ (- x (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- x (* (cos x) x)) 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 (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) 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 (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (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 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* 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 (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* 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 (/ (* (* (cos x) x) x) x) #s(hole binary64 x))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ -1 (* (* x x) x)) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1)
8.0ms
x
@inf
((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1)
3.0ms
x
@0
((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1)

rewrite94.0ms (2.9%)

Memory
37.8MiB live, 83.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222807
03692556
013302480
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
150 → 223
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x)
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)))
#s(approx (* (* (cos x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)
(*.f64 (*.f64 (cos.f64 x) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1 binary64)
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* 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) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x 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)) (* (* (* x 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) x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (cos x) x) 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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (- 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 (* (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 (* (cos x) x)) x) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (- x (* (cos x) 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 (/ (- x (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- x (* (cos x) x)) 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 (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) 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 (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (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 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* 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 (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* 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 (/ (* (* (cos x) x) x) x) #s(hole binary64 x))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ -1 (* (* x x) x)) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
(/.f64 (neg.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 x))
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) x)
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (neg.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x 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 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
#s(literal 1 binary64)
(/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 (/.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)))
#s(approx (* (* (cos x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x x) x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 x (*.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 x x) (/.f64 (*.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x))) (+.f64 x (*.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x))))
(-.f64 x (*.f64 (cos.f64 x) x))
(+.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.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 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) 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 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x))
(/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x)) x)
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) x)
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (cos.f64 x) x) (/.f64 x x))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) (*.f64 x x))
(*.f64 x (*.f64 (cos.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1 binary64)
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.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 (* (/ (sin x) x) (tan (/ x 2))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (-.f64 (*.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 (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (-.f64 (*.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 (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.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 (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (neg (* (* (cos x) x) x)) (neg.f64 (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (* (* (cos x) x) x) (*.f64 x x))
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (fma.f64 (-.f64 (*.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 (* (cos x) x)) x) x) x) (fma.f64 (-.f64 (*.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 (* (cos x) x)) x) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- x (* (cos x) x)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (-.f64 (*.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 (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (-.f64 (*.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 (- x (* (cos x) x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- x (* (cos x) x)) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- x (* (cos x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (* (cos x) x)) (*.f64 (fma.f64 (-.f64 (*.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 (*.f64 x x) x)))
#s(approx (* (cos x) x) 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 (-.f64 (*.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 (-.f64 (*.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 (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 (-.f64 (*.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 (*.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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.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 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (/ (* (* (cos x) x) x) x) x)
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (fma.f64 (-.f64 (*.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) x) x) (*.f64 (fma.f64 (-.f64 (*.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 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (/.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))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
#s(approx (* (* (cos x) x) x) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (- x (* (cos x) x)) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 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 (cos x) (cos.f64 x))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (cos.f64 x) x))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (/.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))))
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (- x (* (cos x) x)) x) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
#s(approx (- x (* (cos x) x)) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x))

eval22.0ms (0.7%)

Memory
-5.3MiB live, 41.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 374 to 886 computations (62.7% saved)

prune24.0ms (0.7%)

Memory
-2.3MiB live, 44.0MiB allocated; 3ms collecting garbage
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New20011211
Fresh21416
Picked235
Done156
Total20533238
Accuracy
100.0%
Counts
238 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
3.4%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
3.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
3.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
3.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x)))
3.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
15.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
3.5%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
27.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))
26.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
15.1%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x)
48.3%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
30.0%
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
27.4%
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
16.9%
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
2.3%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
38.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
75.6%
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
76.2%
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) x)
99.8%
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x)
12.1%
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
3.5%
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
75.8%
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x)))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 888 to 644 computations (27.5% saved)

regimes33.0ms (1%)

Memory
-4.2MiB live, 44.3MiB allocated; 8ms collecting garbage
Counts
53 → 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)))
(/.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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) 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 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 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)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x)
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x)
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
(/.f64 (/.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 x x))
(/.f64 (/.f64 (/.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))) 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 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.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 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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 (-.f64 #s(literal 1 binary64) (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 x x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #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)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x)
Calls

2 calls:

19.0ms
x
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes20.0ms (0.6%)

Memory
-24.9MiB live, 20.6MiB allocated; 4ms collecting garbage
Counts
36 → 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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) 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 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 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)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x)
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

9.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
20 → 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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#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) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.3%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
19 → 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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
54.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
79.3%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
7 → 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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
Outputs
#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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
78.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB 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)
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 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
78.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.7b remaining (-2.5%)

Threshold costs -0.7b (-2.5%)

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
54.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
54.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch14.0ms (0.4%)

Memory
-27.3MiB live, 19.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00010333701719116784
7203.1043430748305
Samples
6.0ms128×0valid
1.0ms16×1valid
Compiler

Compiled 164 to 181 computations (-10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (54.4% of total)
ival-mult!: 1.0ms (27.2% of total)
ival-div!: 1.0ms (27.2% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00010333701719116784
7203.1043430748305
Compiler

Compiled 164 to 181 computations (-10.4% saved)

bsearch15.0ms (0.5%)

Memory
24.0MiB live, 23.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.4134898925163895e+54
3.6164445207013035e+57
Samples
9.0ms128×0valid
Compiler

Compiled 195 to 202 computations (-3.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 5.0ms (77.5% of total)
ival-mult!: 1.0ms (15.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
-27.1MiB live, 19.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.00010333701719116784
7203.1043430748305
Samples
8.0ms128×0valid
Compiler

Compiled 263 to 271 computations (-3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (69.3% of total)
ival-mult!: 1.0ms (17.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.131260546390999e+75
2.3849579830673746e+83
Samples
10.0ms144×0valid
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 (72.8% of total)
ival-mult!: 1.0ms (14.6% of total)
ival-div!: 1.0ms (14.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations274.0ms (8.3%)

Memory
-24.7MiB live, 131.5MiB allocated; 165ms collecting garbage
Stop Event
fuel
Compiler

Compiled 89 to 70 computations (21.3% saved)

preprocess71.0ms (2.2%)

Memory
27.3MiB live, 168.3MiB allocated; 29ms collecting garbage
Remove

(abs x)

Compiler

Compiled 375 to 340 computations (9.3% saved)

end0.0ms (0%)

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

Profiling

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