tanhf (example 3.4)

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze102.0ms (3.3%)

Memory
10.9MiB live, 97.8MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.2s (69.9%)

Memory
38.5MiB live, 1 622.1MiB allocated; 897ms collecting garbage
Samples
613.0ms2 173×2valid
610.0ms4 186×0valid
556.0ms693×3valid
134.0ms1 200×1valid
5.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-cos: 1.0s (61% of total)
ival-sin: 369.0ms (22.3% of total)
adjust: 138.0ms (8.3% of total)
ival-div!: 77.0ms (4.6% of total)
ival-sub!: 62.0ms (3.7% of total)
Bogosity

preprocess46.0ms (1.5%)

Memory
-10.8MiB live, 34.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01213
15512
224512
3149312
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series7.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099299
Stop Event
iter-limit
Counts
6 → 20
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
Calls

3 calls:

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

rewrite46.0ms (1.5%)

Memory
7.1MiB live, 53.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01014
15314
053414
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
6 → 73
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 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 (*.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))))) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 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)) (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.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) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 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 (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.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) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 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) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
x
(sin.f64 x)

eval9.0ms (0.3%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 715 to 332 computations (53.6% saved)

prune3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh000
Picked101
Done000
Total84488
Accuracy
100.0%
Counts
88 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 34 to 34 computations (0% saved)

series19.0ms (0.6%)

Memory
-16.7MiB live, 34.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120414
Stop Event
iter-limit
Counts
18 → 28
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 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))
(sin.f64 x)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1/2 (* 1/24 (pow x 2))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/24 (pow x 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (tan (* x 1/2)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* x 1/2)) (* x 1/2) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

rewrite52.0ms (1.7%)

Memory
15.9MiB live, 61.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02288
03282
114382
0128479
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 185
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 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))
(sin.f64 x)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/8 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) 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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 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 (*.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))))) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 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)) (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x)) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(neg.f64 (-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))))))
(neg.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(sin.f64 x)

eval29.0ms (0.9%)

Memory
-37.6MiB live, 52.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 1 747 to 695 computations (60.2% saved)

prune6.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1915196
Fresh000
Picked224
Done000
Total1937200
Accuracy
100.0%
Counts
200 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
50.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 155 to 151 computations (2.6% saved)

series25.0ms (0.8%)

Memory
-14.2MiB live, 38.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177774
Stop Event
iter-limit
Counts
34 → 48
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x)
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (* x x) 1/24) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (* x x) (* x x)) 1/576) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- 1/2 (* (* x x) 1/24)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ (* (* (* x x) 1/24) x) (* 1/2 x)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) 1/24) x) (* 1/2 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/576 binary64))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/576 binary64))))
#s(approx (- 1/2 (* (* x x) 1/24)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1/2 (* (* x x) 1/24)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) 1/24) x) (* 1/2 x)) (* (* x x) 1/24) (* x x) x 1/24 (* 1/2 x) 1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 (* (* (* x x) (* x x)) 1/576) (* (* x x) (* x x)) 1/576 (- 1/2 (* (* x x) 1/24)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2))
4.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) 1/24) x) (* 1/2 x)) (* (* x x) 1/24) (* x x) x 1/24 (* 1/2 x) 1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 (* (* (* x x) (* x x)) 1/576) (* (* x x) (* x x)) 1/576 (- 1/2 (* (* x x) 1/24)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2))
4.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) 1/24) x) (* 1/2 x)) (* (* x x) 1/24) (* x x) x 1/24 (* 1/2 x) 1/2 (/ (- 1 (cos x)) (sin x)) (/ 1 (/ 2 x)) 1 (/ 2 x) 2 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 (* (* (* x x) (* x x)) 1/576) (* (* x x) (* x x)) 1/576 (- 1/2 (* (* x x) 1/24)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2))

rewrite104.0ms (3.4%)

Memory
43.6MiB live, 178.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038260
059206
1296192
02901185
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
34 → 659
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x)
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 x x) (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 (fma.f64 (/.f64 x x) (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 (*.f64 (fma.f64 (/.f64 x x) (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) x))
(*.f64 (fma.f64 (/.f64 x x) (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x))))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (fma.f64 (/.f64 x x) (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
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eval89.0ms (2.9%)

Memory
-10.0MiB live, 177.1MiB allocated; 49ms collecting garbage
Compiler

Compiled 5 281 to 2 235 computations (57.7% saved)

prune24.0ms (0.8%)

Memory
-21.9MiB live, 30.0MiB allocated; 22ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5281529
Fresh000
Picked235
Done022
Total5306536
Accuracy
100.0%
Counts
536 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 72 to 71 computations (1.4% saved)

series8.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092425
Stop Event
iter-limit
Counts
11 → 23
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx x x)
#s(approx (- 1/2 (* (* x x) 1/24)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (* (* x x) 1/24)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* x x) 1/24) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/576 binary64))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/576 binary64))))
#s(approx (- 1/2 (* (* x x) 1/24)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1/2 (* (* x x) 1/24)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(approx (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 x (- 1/2 (* (* x x) 1/24)) 1/2 (* (* x x) 1/24) (* x x) 1/24)
2.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 x (- 1/2 (* (* x x) 1/24)) 1/2 (* (* x x) 1/24) (* x x) 1/24)
1.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (/ (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/2 (* (* x x) 1/24))) (* (- 1/4 (* (* (* x x) (* x x)) 1/576)) x) (- 1/4 (* (* (* x x) (* x x)) 1/576)) 1/4 x (- 1/2 (* (* x x) 1/24)) 1/2 (* (* x x) 1/24) (* x x) 1/24)

rewrite160.0ms (5.2%)

Memory
13.9MiB live, 193.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021101
02690
114382
2136982
0853075
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 224
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)
#s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal 1 binary64))))
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(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/24 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) x)) x))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) x)) (sqrt.f64 (*.f64 (fabs.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 x (fabs.f64 x))) (sqrt.f64 (*.f64 x (fabs.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/24 binary64)

eval27.0ms (0.9%)

Memory
8.5MiB live, 53.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 431 to 1 094 computations (68.1% saved)

prune20.0ms (0.6%)

Memory
-11.8MiB live, 33.8MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New22413237
Fresh000
Picked101
Done055
Total22518243
Accuracy
100.0%
Counts
243 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))))
51.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/24 binary64)))))
0.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) #s(literal 1/24 binary64)))))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))))
51.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/24 binary64)))))
0.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
51.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
51.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64))))
51.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
45.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))) #s(literal -1 binary64))))
Compiler

Compiled 588 to 502 computations (14.6% saved)

regimes14.0ms (0.4%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
x
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.6%)

Memory
-19.9MiB live, 25.1MiB allocated; 5ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
51.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
51.4%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (/.f64 #s(approx (- 1/4 (* (* (* x x) (* x x)) 1/576)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
51.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
51.4%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

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

Compiled 7 to 7 computations (0% saved)

derivations74.0ms (2.4%)

Memory
-37.7MiB live, 57.6MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 41 to 29 computations (29.3% saved)

preprocess41.0ms (1.3%)

Memory
43.8MiB live, 89.6MiB allocated; 4ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 165 to 149 computations (9.7% saved)

end0.0ms (0%)

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

Profiling

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