cos2 (problem 3.4.1)

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (56.6%)

Memory
8.4MiB live, 2 559.4MiB allocated; 423ms collecting garbage
Samples
678.0ms2 187×2valid
360.0ms681×3valid
354.0ms4 209×0valid
125.0ms1 179×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 919.0ms (71% of total)
adjust: 136.0ms (10.5% of total)
ival-sub!: 120.0ms (9.3% of total)
ival-div!: 71.0ms (5.5% of total)
ival-mult!: 46.0ms (3.6% of total)
Bogosity

preprocess63.0ms (2%)

Memory
-17.1MiB live, 38.9MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
15024
215824
337324
495524
5294124
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB 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))

rewrite103.0ms (3.2%)

Memory
30.8MiB live, 125.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1328264
03034246
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
23 → 81
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (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 (0.3%)

Memory
-33.4MiB live, 12.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 583 to 261 computations (55.2% saved)

prune7.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New651277
Fresh000
Picked011
Done000
Total651378
Accuracy
99.9%
Counts
78 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
48.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
▶49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
48.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (*.f64 x x))
48.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
10.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
▶48.2%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
✓48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
25.4%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
▶53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 290 to 268 computations (7.6% saved)

series12.0ms (0.4%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
25 → 83
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 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 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
4.0ms
x
@inf
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
3.0ms
x
@0
((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/ 1 x) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

rewrite198.0ms (6.2%)

Memory
-10.5MiB live, 259.9MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451631
02761449
111951429
084421351
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
108 → 717
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (neg (cos x)) (* x x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (/ 1 x) (/ 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 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
Outputs
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/24 binary64)
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 2 binary64) (+.f64 x x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x)) x)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x 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 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 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 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x 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) (*.f64 x x) (*.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
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(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (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 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (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 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))

eval52.0ms (1.6%)

Memory
33.5MiB live, 78.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 678 to 1 954 computations (65.6% saved)

prune23.0ms (0.7%)

Memory
-10.6MiB live, 35.1MiB allocated; 4ms collecting garbage
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New54317560
Fresh527
Picked235
Done011
Total55023573
Accuracy
100.0%
Counts
573 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
26.9%
(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)))
14.8%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x) (*.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
48.4%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
48.9%
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) x (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
75.8%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
49.4%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
48.3%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
48.4%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
48.2%
(/.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
30.0%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
▶10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
✓48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
▶48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
▶48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
▶99.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
✓53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 447 to 419 computations (6.3% saved)

series31.0ms (1%)

Memory
-29.9MiB live, 22.8MiB allocated; 20ms collecting garbage
Counts
28 → 104
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(sin.f64 x)
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
Outputs
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x))
5.0ms
x
@inf
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x))
3.0ms
x
@0
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x))

rewrite157.0ms (4.9%)

Memory
46.6MiB live, 176.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03132127
03611980
115511927
082451814
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
132 → 534
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(sin.f64 x)
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (/.f64 (sin.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x)))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (cos.f64 x)))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
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(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (- (cos x) -1) x) (+.f64 x x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 #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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (* (- (cos x) -1) x) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (- (cos x) -1) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (cos x) -1) x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 x x) (cos.f64 x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval90.0ms (2.8%)

Memory
-12.2MiB live, 88.1MiB allocated; 70ms collecting garbage
Compiler

Compiled 6 352 to 1 993 computations (68.6% saved)

prune27.0ms (0.8%)

Memory
-0.1MiB live, 45.8MiB allocated; 6ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New64711658
Fresh6814
Picked235
Done044
Total65526681
Accuracy
100.0%
Counts
681 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
26.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
▶48.4%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
49.4%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
24.1%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
48.3%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶30.0%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
73.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
14.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
2.3%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
✓48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
▶99.8%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
75.6%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
12.1%
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
✓48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
99.8%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
75.8%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶55.0%
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
✓53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 444 to 419 computations (5.6% saved)

series15.0ms (0.5%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
30 → 95
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(cos.f64 x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x))))
(/.f64 (neg.f64 (cos.f64 x)) x)
(neg.f64 (cos.f64 x))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (/ (sin 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 (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (cos x) #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 (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ -1 x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)))
#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 (/ 2 (+ x x))) #s(hole binary64 1))
#s(approx (/ 2 (+ x x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (* -1 (/ (cos x) x))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
Calls

3 calls:

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

rewrite134.0ms (4.2%)

Memory
-22.1MiB live, 76.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02651923
03041852
011151750
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
125 → 189
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(cos.f64 x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x))))
(/.f64 (neg.f64 (cos.f64 x)) x)
(neg.f64 (cos.f64 x))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (/ (sin 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 (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))))
#s(approx (cos x) #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 (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ -1 x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)))
#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 (/ 2 (+ x x))) #s(hole binary64 1))
#s(approx (/ 2 (+ x x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (cos x) (* (neg x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (/ (neg (cos x)) x) #s(hole binary64 (* -1 (/ (cos x) x))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (sin.f64 x)) x)
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (/.f64 (+.f64 x x) (+.f64 x x))) x) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (/.f64 (+.f64 x x) (+.f64 x x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (/.f64 (+.f64 x x) (+.f64 x x))) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x)) (*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (/.f64 (+.f64 x x) (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (/.f64 (+.f64 x x) (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x x) (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (-.f64 (*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (/.f64 (+.f64 x x) (+.f64 x x))) (*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (/.f64 (+.f64 x x) (+.f64 x x))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) x (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (/.f64 (+.f64 x x) (+.f64 x x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(fma.f64 x (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (+.f64 x x) (+.f64 x x)))
(-.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (+.f64 x x))))
(+.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(+.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) (/.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(neg.f64 (/.f64 (cos.f64 x) x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1 binary64))
(neg.f64 (cos.f64 x))
(cos.f64 (+.f64 x (PI.f64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (tan (/ x 2)) (/ (sin 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 (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (tan (/ x 2)) (/ (sin 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 (* (tan (/ x 2)) (/ (sin x) x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 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 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin 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 (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg 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) (/ 1 x)) (/ (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) (* (neg x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* (neg x) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* (neg x) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* (neg x) x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ 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)) (*.f64 x x)))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (neg (cos x)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
#s(approx (/ (neg (cos x)) x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (neg (cos x)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (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 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (* x (/ 2 (+ x x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (tan (/ x 2)) (/ (sin x) x)) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* (neg x) x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* (neg x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (/ (neg (cos x)) x) x) (* x (/ 2 (+ x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (neg (cos x)) x) (/.f64 (neg.f64 (cos.f64 x)) x))
#s(approx (neg (cos x)) (neg.f64 (cos.f64 x)))

eval21.0ms (0.7%)

Memory
-8.4MiB live, 37.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 755 to 697 computations (60.3% saved)

prune21.0ms (0.7%)

Memory
-11.3MiB live, 34.7MiB allocated; 3ms collecting garbage
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New2036209
Fresh31114
Picked235
Done077
Total20827235
Accuracy
100.0%
Counts
235 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓48.1%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
26.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
48.7%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(approx (* x (/ 2 (+ x x))) #s(literal 1 binary64))) (*.f64 x x))
26.8%
(/.f64 (fma.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
24.1%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
48.3%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓49.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
76.2%
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
✓30.0%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
27.4%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
73.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
49.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
14.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
2.3%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
10.8%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
✓48.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓26.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓48.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
75.6%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
99.8%
(/.f64 (*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) x)
12.1%
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
✓48.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓55.0%
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
✓53.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓54.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
75.8%
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 649 to 464 computations (28.5% saved)

regimes21.0ms (0.7%)

Memory
26.8MiB live, 26.7MiB allocated; 0ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(approx (* x (/ 2 (+ x x))) #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x) (*.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) x (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.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)))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) x)
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
(/.f64 (*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) x)
Calls

2 calls:

11.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes41.0ms (1.3%)

Memory
-22.8MiB live, 21.9MiB allocated; 4ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(approx (* x (/ 2 (+ x x))) #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x) (*.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) x (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.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)))
#s(approx (/ (* (tan (/ x 2)) (/ (sin x) x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

32.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
7.0ms
x
Results
AccuracySegmentsBranch
99.0%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB 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 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) x) x (*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 x x)))) (*.f64 x x))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x)
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
55.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
78.3%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
78.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.7b remaining (-2.5%)

Threshold costs -0.7b (-2.5%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
54.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
54.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch12.0ms (0.4%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.00010333701719116784
7203.1043430748305
Samples
5.0ms128×0valid
1.0ms16×1valid
Compiler

Compiled 164 to 181 computations (-10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 2.0ms (57.9% of total)
ival-mult!: 1.0ms (28.9% of total)
ival-div!: 1.0ms (28.9% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00010333701719116784
7203.1043430748305
Compiler

Compiled 164 to 181 computations (-10.4% saved)

bsearch24.0ms (0.7%)

Memory
-26.1MiB live, 21.2MiB allocated; 14ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.00010333701719116784
7203.1043430748305
Samples
17.0ms128×0valid
Compiler

Compiled 209 to 217 computations (-3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 13.0ms (91.8% of total)
ival-mult!: 1.0ms (7.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.131260546390999e+75
2.3849579830673746e+83
Samples
9.0ms144×0valid
Compiler

Compiled 146 to 163 computations (-11.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (76.7% of total)
ival-mult!: 1.0ms (15.3% of total)
ival-div!: 1.0ms (15.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations184.0ms (5.7%)

Memory
-16.6MiB live, 119.5MiB allocated; 20ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 59 to 46 computations (22% saved)

preprocess110.0ms (3.4%)

Memory
-11.6MiB live, 88.9MiB allocated; 12ms collecting garbage
Remove

(abs x)

Compiler

Compiled 261 to 238 computations (8.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...