cos2 (problem 3.4.1)

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze1.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample1.7s (49%)

Memory
79.0MiB live, 1 750.3MiB allocated; 357ms collecting garbage
Samples
632.0ms2 202×2valid
368.0ms4 230×0valid
265.0ms647×3valid
209.0ms1 177×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 908.0ms (72.1% of total)
adjust: 113.0ms (9% of total)
ival-div!: 96.0ms (7.6% of total)
ival-sub!: 81.0ms (6.4% of total)
ival-mult!: 60.0ms (4.8% of total)
Bogosity

preprocess35.0ms (1%)

Memory
-25.1MiB live, 21.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
16024
226724
3122424
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

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

rewrite192.0ms (5.5%)

Memory
-5.2MiB live, 186.8MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1353264
23207264
08114246
127172246
Stop Event
saturated
node-limit
iter-limit
Counts
23 → 107
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.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)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
x
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval8.0ms (0.2%)

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

Compiled 649 to 320 computations (50.7% saved)

prune8.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New9011101
Fresh000
Picked011
Done000
Total9012102
Accuracy
99.9%
Counts
102 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
15.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
51.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
51.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 218 to 204 computations (6.4% saved)

series6.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
18 → 32
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

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

rewrite245.0ms (7%)

Memory
-49.0MiB live, 174.8MiB allocated; 96ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115609
0134589
1617586
24873586
08103569
127217569
Stop Event
saturated
node-limit
iter-limit
Counts
50 → 277
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.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 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 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))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) x) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
(neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 (neg.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))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))
(-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64)))
(-.f64 #s(literal -1/24 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(-.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(literal 1/720 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
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(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
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(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
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(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#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) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval34.0ms (1%)

Memory
18.5MiB live, 71.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 115 to 832 computations (60.7% saved)

prune15.0ms (0.4%)

Memory
-17.4MiB live, 27.9MiB allocated; 6ms collecting garbage
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New3006306
Fresh156
Picked055
Done011
Total30117318
Accuracy
99.9%
Counts
318 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
28.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
51.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
15.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
50.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
51.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
52.4%
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
51.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
51.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 258 to 245 computations (5% saved)

series7.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Counts
24 → 45
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 1/2))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ (- 1 (cos x)) x) (/ 1 x)) (/ (- 1 (cos x)) x) (* 1/2 x) 1/2 x (/ 1 x) 1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (- 1 (cos x)) (cos x) (* (* (/ 1 x) (- 1 (cos x))) (/ 1 x)))
2.0ms
x
@inf
((* (/ (- 1 (cos x)) x) (/ 1 x)) (/ (- 1 (cos x)) x) (* 1/2 x) 1/2 x (/ 1 x) 1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (- 1 (cos x)) (cos x) (* (* (/ 1 x) (- 1 (cos x))) (/ 1 x)))
2.0ms
x
@0
((* (/ (- 1 (cos x)) x) (/ 1 x)) (/ (- 1 (cos x)) x) (* 1/2 x) 1/2 x (/ 1 x) 1 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (- 1 (cos x)) (cos x) (* (* (/ 1 x) (- 1 (cos x))) (/ 1 x)))

rewrite248.0ms (7.1%)

Memory
-7.5MiB live, 221.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581045
0182985
1790985
26007985
08348952
124877952
Stop Event
saturated
node-limit
iter-limit
Counts
69 → 406
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 1/2))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (* (/ (- 1 (cos x)) x) (/ 1 x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #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 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.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)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 #s(literal -1/24 binary64) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) x) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))))

eval95.0ms (2.7%)

Memory
-1.8MiB live, 130.0MiB allocated; 65ms collecting garbage
Compiler

Compiled 3 391 to 1 289 computations (62% saved)

prune13.0ms (0.4%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (7 fresh and 11 done)

PrunedKeptTotal
New4421443
Fresh066
Picked055
Done066
Total44218460
Accuracy
99.9%
Counts
460 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
49.8%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
28.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
51.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
15.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
50.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
51.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
52.4%
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
51.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
51.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 228 to 215 computations (5.7% saved)

series10.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
23 → 44
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 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 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
Calls

3 calls:

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

rewrite266.0ms (7.6%)

Memory
-21.7MiB live, 125.5MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142885
0170831
1774828
27565828
08202780
127366780
Stop Event
saturated
node-limit
iter-limit
Counts
67 → 596
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)))
(*.f64 (/.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) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) 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) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (cos.f64 x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (cos.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 x (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (cos.f64 x) x)) (*.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x)))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
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(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
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(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
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(/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x))
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(/.f64 (cos.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(approx (neg (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
#s(approx (neg (cos x)) (neg.f64 (cos.f64 x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval50.0ms (1.4%)

Memory
-17.9MiB live, 74.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 3 744 to 1 285 computations (65.7% saved)

prune22.0ms (0.6%)

Memory
44.9MiB live, 44.9MiB allocated; 0ms collecting garbage
Pruning

33 alts after pruning (18 fresh and 15 done)

PrunedKeptTotal
New51017527
Fresh112
Picked145
Done01111
Total51233545
Accuracy
99.9%
Counts
545 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
27.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
28.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))
27.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
3.3%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
27.2%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
19.7%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x)))
2.5%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))
27.9%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
2.4%
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
28.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
51.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
15.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
15.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
43.8%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
2.7%
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
51.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
28.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
26.9%
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
50.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
50.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
49.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
52.4%
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
26.6%
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
51.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
51.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 597 to 436 computations (27% saved)

regimes21.0ms (0.6%)

Memory
-16.6MiB live, 29.7MiB allocated; 4ms collecting garbage
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) 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 #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 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 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 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

9.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
75.2%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
78.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes35.0ms (1%)

Memory
-50.6MiB live, 5.1MiB allocated; 6ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
Calls

1 calls:

34.0ms
x
Results
AccuracySegmentsBranch
77.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
77.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
76.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
76.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
76.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.5%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.5%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch9.0ms (0.3%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
8.0ms
0.04292280073766953
130582.40803380658
Samples
4.0ms96×0valid
Compiler

Compiled 149 to 154 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 2.0ms (72% 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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
0.04292280073766953
130582.40803380658
Compiler

Compiled 149 to 154 computations (-3.4% saved)

bsearch13.0ms (0.4%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.04292280073766953
130582.40803380658
Samples
7.0ms112×0valid
Compiler

Compiled 281 to 280 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (78.9% of total)
ival-mult!: 1.0ms (19.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.04292280073766953
130582.40803380658
Compiler

Compiled 263 to 271 computations (-3% saved)

bsearch16.0ms (0.5%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
111285388728578300.0
1.3457679261356869e+25
Samples
10.0ms144×0valid
Compiler

Compiled 227 to 235 computations (-3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (72.6% of total)
ival-mult!: 1.0ms (14.5% of total)
ival-div!: 1.0ms (14.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
327918886471.7494
409430900548.1568
Samples
3.0ms48×0valid
Compiler

Compiled 86 to 85 computations (1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 2.0ms (90.1% 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)

bsearch18.0ms (0.5%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
7.513121749419101e+29
9.084822254736754e+39
Samples
10.0ms160×0valid
Compiler

Compiled 221 to 230 computations (-4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (69% of total)
ival-mult!: 1.0ms (13.8% of total)
ival-div!: 1.0ms (13.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch17.0ms (0.5%)

Memory
-36.8MiB live, 10.2MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.5002163528031942e+76
1.335264422426706e+78
Samples
7.0ms112×0valid
Compiler

Compiled 116 to 129 computations (-11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (76.6% of total)
ival-mult!: 1.0ms (19.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations276.0ms (7.9%)

Memory
35.3MiB live, 126.3MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 103 to 68 computations (34% saved)

preprocess84.0ms (2.4%)

Memory
1.6MiB live, 140.7MiB allocated; 15ms collecting garbage
Remove

(abs x)

Compiler

Compiled 535 to 458 computations (14.4% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...