Average Error: 1.0 → 0
Time: 5.6s
Precision: 64
Internal Precision: 320
$\sin^{-1} \left(\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)\right)$
$\sin^{-1} \left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)$

# Try it out

Results

 In Out
Enter valid numbers for all inputs

# Derivation

1. Initial program 1.0

$\sin^{-1} \left(\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)\right)$
2. Using strategy rm

$\leadsto \sin^{-1} \color{blue}{\left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)}$
4. Final simplification0

$\leadsto \sin^{-1} \left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)$

# Runtime

Time bar (total: 5.6s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'
(FPCore ()
:name "asin (acos (atan (tan (cos (sin (9) ) ) ) ) )"
(asin (acos (atan (tan (cos (sin 9)))))))