cos2 (problem 3.4.1)

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze1.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample1.8s (54.2%)

Memory
21.8MiB live, 1 920.5MiB allocated; 370ms collecting garbage
Samples
688.0ms2 204×2valid
347.0ms4 125×0valid
294.0ms745×3valid
111.0ms1 182×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 830.0ms (72.3% of total)
adjust: 162.0ms (14.1% of total)
ival-div!: 67.0ms (5.8% of total)
ival-sub!: 46.0ms (4% of total)
ival-mult!: 42.0ms (3.7% of total)
Bogosity

preprocess43.0ms (1.3%)

Memory
-11.6MiB live, 45.4MiB allocated; 11ms 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
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB 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
4.0ms
x
@0
((/ (- 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
@inf
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

rewrite92.0ms (2.7%)

Memory
10.8MiB live, 103.6MiB allocated; 5ms 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
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 472 to 234 computations (50.4% saved)

prune10.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New471663
Fresh000
Picked011
Done000
Total471764
Accuracy
99.9%
Counts
64 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.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))
51.7%
(/.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))
52.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.6%
(/.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))
17.0%
(/.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))))
16.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
51.8%
(/.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)))
51.7%
(/.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)))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.1%
#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)))
49.6%
#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)))
49.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
50.9%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 398 to 354 computations (11.1% saved)

series72.0ms (2.1%)

Memory
-26.4MiB live, 110.3MiB allocated; 17ms collecting garbage
Counts
31 → 102
Calls
Call 1
Inputs
(/.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)
x
#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 (-.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)))
(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))
(*.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)
(-.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))
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
#s(literal 2 binary64)
(/.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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
#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))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 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 (/ (- 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 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 (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (cos x) 3)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (cos x) 3) #s(hole binary64 1))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (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 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 1/24 (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (pow (exp (log x)) 2) (exp (log x)) (log x) 2 (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
26.0ms
x
@0
((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 1/24 (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (pow (exp (log x)) 2) (exp (log x)) (log x) 2 (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
17.0ms
x
@inf
((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 1/24 (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (pow (exp (log x)) 2) (exp (log x)) (log x) 2 (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

rewrite232.0ms (6.9%)

Memory
16.9MiB live, 241.5MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03072226
03492071
113232070
088262027
Stop Event
iter-limit
node-limit
iter-limit
Counts
133 → 562
Calls
Call 1
Inputs
(/.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)
x
#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 (-.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)))
(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))
(*.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)
(-.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))
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
#s(literal 2 binary64)
(/.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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
#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))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 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 (/ (- 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 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 (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (cos x) 3)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (cos x) 3) #s(hole binary64 1))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (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 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.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) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x 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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (cos.f64 x) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
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#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) x) x) #s(literal 3/2 binary64)) x) x #s(literal 3 binary64)))
#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 (*.f64 x x) #s(literal 1/24 binary64) #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)) (pow (exp (log x)) 2)) (/.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)) (pow (exp (log x)) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/40320 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/40320 binary64)) x))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/40320 binary64)) x))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) x) (*.f64 x x)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) x) x))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (pow (cos x) 3)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
#s(approx (pow (cos x) 3) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/40320 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x)))
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))

eval55.0ms (1.6%)

Memory
36.1MiB live, 80.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 6 468 to 2 485 computations (61.6% saved)

prune57.0ms (1.7%)

Memory
-21.5MiB live, 33.1MiB allocated; 20ms collecting garbage
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New54216558
Fresh3811
Picked145
Done011
Total54629575
Accuracy
99.9%
Counts
575 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
51.7%
(/.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))
52.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
26.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
49.9%
(/.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)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
51.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 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)))
51.6%
(/.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))
52.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
17.0%
(/.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))))
16.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
16.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
42.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
39.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) (*.f64 x x) (*.f64 x x)))
50.0%
(/.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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.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))))) (cos.f64 x)) (*.f64 x x)))
27.0%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
51.7%
(/.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)))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.8%
(/.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
27.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
51.8%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
51.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.1%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
49.5%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
49.6%
#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)))
50.9%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 745 to 641 computations (14% saved)

series38.0ms (1.1%)

Memory
5.0MiB live, 52.6MiB allocated; 3ms collecting garbage
Counts
36 → 129
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (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)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
(/.f64 (-.f64 (/.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) (+.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 #s(literal 1 binary64) (+.f64 (cos.f64 x) #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 (/.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)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 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 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
#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)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
Outputs
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #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 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #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) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (- (cos x) -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 (- (cos x) -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 (- (cos x) -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 (- (cos x) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #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 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 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 (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@inf
((/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 x (/ (cos x) x) (cos x) (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (/ 1 (- (cos x) -1)) (- (cos x) -1) -1 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) (pow (exp (log x)) 2) (exp (log x)) (log x))
13.0ms
x
@-inf
((/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 x (/ (cos x) x) (cos x) (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (/ 1 (- (cos x) -1)) (- (cos x) -1) -1 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) (pow (exp (log x)) 2) (exp (log x)) (log x))
9.0ms
x
@0
((/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 x (/ (cos x) x) (cos x) (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (/ 1 (- (cos x) -1)) (- (cos x) -1) -1 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) (pow (exp (log x)) 2) (exp (log x)) (log x))

rewrite233.0ms (6.9%)

Memory
-16.7MiB live, 172.2MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03402893
03982223
115032172
082982092
Stop Event
iter-limit
node-limit
iter-limit
Counts
165 → 666
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (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)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
(/.f64 (-.f64 (/.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) (+.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 #s(literal 1 binary64) (+.f64 (cos.f64 x) #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 (/.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)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 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 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
#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)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #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 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 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 (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #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) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (- (cos x) -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 (- (cos x) -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 (- (cos x) -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 (- (cos x) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #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 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) (pow (exp (log x)) 2)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (- (cos x) -1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (cos x) -1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (- (cos x) -1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 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 (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) 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 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (/.f64 (/.f64 (*.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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) 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 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 (*.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 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (*.f64 x x))))
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(/.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)))
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(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.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 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.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)))
(fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
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(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
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(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 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 (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 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(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) (log.f64 x)))
(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
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
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#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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)))
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#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* 1 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 (/ (- (* 1 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))
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#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 1 x) x)
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
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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 (-.f64 (*.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) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* 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) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
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#s(approx (* 1 x) x)
#s(approx (* x (cos x)) x)
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#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
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#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (- (cos x) -1)) #s(literal 1/2 binary64))
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#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 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(literal 1/2 binary64))
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#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/640 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
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#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 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 (-.f64 (*.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 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.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 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (- (cos x) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (cos x) -1)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (cos x) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (cos x) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/5760 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#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 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(literal 1/2 binary64))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/640 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (pow (exp (log x)) 2) (*.f64 x x))
#s(approx (* 1 x) x)
#s(approx (log x) (log.f64 x))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* 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 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* 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 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ 1 (- (cos x) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (/.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))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ 1 (- (cos x) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (/.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))))
#s(approx (log x) (log.f64 x))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))

eval48.0ms (1.4%)

Memory
22.0MiB live, 66.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 6 576 to 2 256 computations (65.7% saved)

prune32.0ms (0.9%)

Memory
11.7MiB live, 57.8MiB allocated; 3ms collecting garbage
Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New54223565
Fresh12719
Picked325
Done055
Total55737594
Accuracy
100.0%
Counts
594 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)))
26.7%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)
26.7%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)
26.7%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (cos.f64 x) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (+.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 x x)) x)
21.5%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))))) x)
51.5%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
51.6%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
51.7%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.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)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x))
51.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
51.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x))
51.8%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
52.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.8%
(/.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))
17.6%
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
26.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
52.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
51.7%
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
16.8%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
16.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
16.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
42.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.7%
(-.f64 (/.f64 (/.f64 x (*.f64 x x)) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) x))
51.8%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
51.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
52.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
50.1%
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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)))
49.5%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
49.6%
#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)))
50.9%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 996 to 870 computations (12.7% saved)

series24.0ms (0.7%)

Memory
-17.9MiB live, 36.2MiB allocated; 7ms collecting garbage
Counts
40 → 149
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(cos.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 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)
#s(literal 3/2 binary64)
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
Outputs
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 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 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#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 (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #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) #s(hole binary64 (pow x 2)))
#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)) #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 (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 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 (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ 1 (/ 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 1))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (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)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3))) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3))))
#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) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 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)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 3/2 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
7.0ms
x
@inf
((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 3/2 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
7.0ms
x
@0
((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 3/2 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

rewrite238.0ms (7%)

Memory
22.6MiB live, 250.2MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04293281
04923008
120052916
094572814
Stop Event
iter-limit
node-limit
iter-limit
Counts
189 → 732
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(cos.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 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)
#s(literal 3/2 binary64)
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 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 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#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 (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #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) #s(hole binary64 (pow x 2)))
#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)) #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 (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 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 (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ 1 (/ 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 1))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (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)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3))) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) #s(hole binary64 (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(hole binary64 (sqrt (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3))))
#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) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 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)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (/ 1 (/ 1 (* x x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (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 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.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 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.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) (+.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.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) (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #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))) (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 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 (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)))))))
(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 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.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)
(/.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 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (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 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.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 #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 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (*.f64 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 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 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 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 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1 x) x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (*.f64 x x))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
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#s(approx (- 1 (cos (+ x x))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (cos (+ x x))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/45 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
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#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 (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 (- (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 (/ (/ (- 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)))
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#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) (*.f64 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)) (*.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 (/ (/ (- 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)) (*.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 (* 1 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) (*.f64 x x))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 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 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (*.f64 (fma.f64 #s(literal -7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 61/240 binary64) (*.f64 x x)) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -547/13440 binary64) (*.f64 x x) #s(literal 61/240 binary64)) (*.f64 x x)) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) #s(literal 1 binary64))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (fma.f64 (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#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 (-.f64 (*.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 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (*.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 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.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 (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 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(literal 3 binary64))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)))
#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 (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (- (cos x) -1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- x (* (cos x) x)) (* 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 (* (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)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* (cos x) x) (*.f64 (cos.f64 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)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x))
#s(approx (/ (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (/.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 3/2 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (- 1 (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2)) (-.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 3/2 binary64))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 3/2) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 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) (+ (cos x) 1)) 1) (* x x)) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x 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 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- x (* (cos x) x)) (-.f64 x (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- x (* (cos x) x)) (-.f64 x (*.f64 (cos.f64 x) x)))

eval136.0ms (4%)

Memory
-39.6MiB live, 107.2MiB allocated; 32ms collecting garbage
Compiler

Compiled 6 878 to 2 552 computations (62.9% saved)

prune41.0ms (1.2%)

Memory
36.1MiB live, 80.7MiB allocated; 6ms collecting garbage
Pruning

41 alts after pruning (32 fresh and 9 done)

PrunedKeptTotal
New63214646
Fresh71825
Picked325
Done077
Total64241683
Accuracy
100.0%
Counts
683 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)))
26.7%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)
21.5%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))))) x)
51.5%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
51.6%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
51.7%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.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)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x))
51.8%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
51.8%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
42.0%
(/.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 3/2 binary64))) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
52.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.8%
(/.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))
17.6%
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
26.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
52.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
3.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
51.7%
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
2.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
16.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
16.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.2%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.7%
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
51.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
51.8%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
51.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
46.5%
(*.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
52.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x))
51.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
52.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
52.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
52.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)))
50.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x))
50.1%
#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)))
49.5%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
49.6%
#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)))
50.9%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
51.8%
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
Compiler

Compiled 1 313 to 865 computations (34.1% saved)

regimes43.0ms (1.3%)

Memory
9.6MiB live, 96.9MiB allocated; 17ms collecting garbage
Counts
70 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x))
#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)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#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)) (pow (exp (log x)) 2)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
#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)))
(/.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 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(-.f64 (/.f64 (/.f64 x (*.f64 x x)) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.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 #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 1/2 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x 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)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.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))))) (cos.f64 x)) (*.f64 x x)))
(/.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 3/2 binary64))) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (cos.f64 x) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (+.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 x 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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.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 #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)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.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)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 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)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

21.0ms
x
17.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
75.8%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.6%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x))
#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)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#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)) (pow (exp (log x)) 2)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
#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)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.5%)

Memory
-55.2MiB live, 17.0MiB allocated; 21ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x))
#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)) (pow (exp (log x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (cos x)) (pow (exp (log x)) 2)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#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)) (pow (exp (log x)) 2)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
#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)))
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

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
50.9%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.2%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-3.3%)

Threshold costs -1b (-3.3%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) x) x))
#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)) (pow (exp (log x)) 2)) (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:

2.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
50.9%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch47.0ms (1.4%)

Memory
-22.1MiB live, 23.1MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
1.107487455399138e-11
0.812202359490746
Samples
12.0ms160×1valid
Compiler

Compiled 151 to 170 computations (-12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.8% of total)
adjust: 2.0ms (23.2% of total)
ival-sub!: 1.0ms (11.6% of total)
ival-div!: 1.0ms (11.6% of total)
ival-mult!: 1.0ms (11.6% of total)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.107487455399138e-11
0.812202359490746
Compiler

Compiled 151 to 170 computations (-12.6% saved)

bsearch11.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
6.345989643433677e+76
7.291154208712215e+77
Samples
7.0ms96×0valid
Compiler

Compiled 101 to 112 computations (-10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (83.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations31.0ms (0.9%)

Memory
-12.7MiB live, 31.9MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 30 to 25 computations (16.7% saved)

preprocess28.0ms (0.8%)

Memory
23.5MiB live, 68.2MiB allocated; 7ms collecting garbage
Remove

(abs x)

Compiler

Compiled 150 to 143 computations (4.7% saved)

end0.0ms (0%)

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

Profiling

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