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
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.0s (59.6%)

Memory
26.5MiB live, 1 733.6MiB allocated; 518ms collecting garbage
Samples
774.0ms2 235×2valid
412.0ms4 109×0valid
392.0ms724×3valid
148.0ms1 188×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-cos: 1.2s (78.2% of total)
adjust: 126.0ms (8.4% of total)
ival-div!: 77.0ms (5.2% of total)
ival-sub!: 66.0ms (4.4% of total)
ival-mult!: 57.0ms (3.8% of total)
Bogosity

preprocess56.0ms (1.7%)

Memory
-19.6MiB live, 25.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
16024
227524
3141624
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series82.0ms (2.4%)

Memory
35.9MiB live, 35.9MiB 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(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite166.0ms (4.9%)

Memory
-28.3MiB live, 70.3MiB allocated; 25ms collecting garbage
Counts
6 → 20
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
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(cos.f64 x)
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
x
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 445 to 125 computations (71.9% saved)

prune6.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New211031
Fresh000
Picked011
Done000
Total211132
Accuracy
99.7%
Counts
32 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
31.1%
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 x x))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
26.3%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) (*.f64 x x))
49.3%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
49.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
53.2%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 328 to 232 computations (29.3% saved)

series80.0ms (2.4%)

Memory
2.1MiB live, 48.1MiB allocated; 7ms collecting garbage
Counts
16 → 27
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.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))
(cos.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite139.0ms (4.1%)

Memory
4.0MiB live, 102.3MiB allocated; 83ms collecting garbage
Counts
16 → 75
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.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))
(cos.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #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) 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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(cos.f64 x)
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #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) 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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x 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) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #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) 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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 x x)))

eval9.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 175 to 246 computations (79.1% saved)

prune12.0ms (0.4%)

Memory
-30.3MiB live, 16.6MiB allocated; 9ms collecting garbage
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New75782
Fresh145
Picked055
Done011
Total761793
Accuracy
99.8%
Counts
93 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
50.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
13.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
52.3%
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
26.3%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) (*.f64 x x))
49.4%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
49.3%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
49.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
53.2%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 434 to 295 computations (32% saved)

series88.0ms (2.6%)

Memory
-10.9MiB live, 82.4MiB allocated; 14ms collecting garbage
Counts
26 → 38
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* 1/720 (pow x 2)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (pow x 2)) 1/24) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))
#s(approx (* 1/720 (pow x 2)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ (/ 1 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- 1 (cos x)) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1 (cos x)) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- 1 (cos x)) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (- 1 (cos x)) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (cos x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 1/720 (pow x 2)) 1/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* -1/24 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#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)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite135.0ms (4%)

Memory
2.3MiB live, 146.0MiB allocated; 22ms collecting garbage
Counts
26 → 107
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/24 binary64))
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(neg.f64 #s(literal -1/24 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
(neg.f64 #s(literal 1/24 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(cos.f64 x)
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 x) x) x)
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval11.0ms (0.3%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 554 to 448 computations (82.5% saved)

prune13.0ms (0.4%)

Memory
-16.2MiB live, 30.8MiB allocated; 2ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New1298137
Fresh156
Picked235
Done066
Total13222154
Accuracy
99.8%
Counts
154 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
50.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
13.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
26.3%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) (*.f64 x x))
49.5%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
49.4%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
25.0%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
49.3%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
49.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
49.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
49.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
26.2%
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
53.2%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 532 to 355 computations (33.3% saved)

series100.0ms (3%)

Memory
24.8MiB live, 111.1MiB allocated; 46ms collecting garbage
Counts
30 → 39
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(approx (* (* x x) (- (* 1/720 (* x x)) 1/24)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) (- (* 1/720 (* x x)) 1/24)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))
#s(approx (* 1/720 (* x x)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (/ (/ 1 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* (* x x) (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* x x) (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (* x x) (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* (* x x) (- (* 1/720 (* x x)) 1/24))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
-inf
3.0ms
x
inf
2.0ms
x
0

rewrite133.0ms (3.9%)

Memory
-12.1MiB live, 80.2MiB allocated; 25ms collecting garbage
Counts
30 → 131
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/24 binary64))
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(-.f64 (*.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))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(neg.f64 #s(literal 1/24 binary64))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(cos.f64 x)
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.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 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 x x (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(neg.f64 (-.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x x)))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))

eval12.0ms (0.4%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 438 to 558 computations (83.8% saved)

prune11.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New14810158
Fresh268
Picked415
Done099
Total15426180
Accuracy
99.8%
Counts
180 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.8%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
26.9%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
50.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
50.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
13.4%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
13.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) #s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64))))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
15.0%
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
26.3%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) (*.f64 x x))
49.5%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
49.4%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
25.0%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
49.3%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
49.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
50.5%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
26.2%
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
26.2%
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
26.3%
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
52.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
53.2%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 397 to 251 computations (36.8% saved)

regimes115.0ms (3.4%)

Memory
-33.4MiB live, 110.5MiB allocated; 49ms collecting garbage
Accuracy

Total -0.9b remaining (-1.1%)

Threshold costs -0.9b (-1.1%)

Counts
2 → 1
5 → 2
6 → 2
14 → 2
15 → 2
18 → 2
24 → 2
31 → 2
33 → 2
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Call 2
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Call 3
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Call 4
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Call 5
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Call 6
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Call 7
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Call 8
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
Call 9
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) 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)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
Call 10
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) #s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
Calls

13 calls:

14.0ms
x
9.0ms
x
9.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
7.0ms
x
Results
AccuracySegmentsBranch
53.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
53.2%1x
75.5%2x
53.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.7%2x
76.2%2x
99.4%2x
99.5%2x
99.5%2x
99.5%2x
99.5%2x
77.7%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.6%2x
Compiler

Compiled 599 to 154 computations (74.3% saved)

bsearch10.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.07028970029038721
4.939749753379338
Samples
4.0ms112×0valid
Compiler

Compiled 277 to 213 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 1.0ms (41.4% of total)
ival-mult!: 1.0ms (41.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
0.022453705688410864
0.07028970029038721
Samples
3.0ms80×0valid
Compiler

Compiled 161 to 130 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 1.0ms (59% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022453705688410864
0.07028970029038721
Compiler

Compiled 171 to 125 computations (26.9% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022453705688410864
0.07028970029038721
Compiler

Compiled 161 to 125 computations (22.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022453705688410864
0.07028970029038721
Compiler

Compiled 151 to 120 computations (20.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022453705688410864
0.07028970029038721
Compiler

Compiled 151 to 120 computations (20.5% saved)

bsearch17.0ms (0.5%)

Memory
-31.0MiB live, 14.3MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.869463910594303e+32
7.941933414568972e+32
Samples
13.0ms96×0valid
Compiler

Compiled 215 to 160 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 10.0ms (92.3% 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)

bsearch11.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.07028970029038721
4.939749753379338
Samples
6.0ms96×0valid
Compiler

Compiled 214 to 164 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 3.0ms (72.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.07028970029038721
4.939749753379338
Compiler

Compiled 186 to 150 computations (19.4% saved)

derivations3.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 320 to 66 computations (79.4% saved)

preprocess132.0ms (3.9%)

Memory
-27.8MiB live, 132.6MiB allocated; 87ms collecting garbage
Remove

(abs x)

Compiler

Compiled 968 to 498 computations (48.6% saved)

end0.0ms (0%)

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

Profiling

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