Average Error: 30.9 → 0.2
Time: 4.4m
Precision: 64
Internal Precision: 2368
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(e^{\log \left(\sin^{-1} a\right)}\right)\right)\right)}^{\left(a \cdot a\right)}\]

Error

Bits error versus a

Derivation

  1. Initial program 30.9

    \[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
  2. Using strategy rm

  3. Applied add-exp-log0.2

    \[\leadsto {\left(\tan^{-1} \left(a \bmod \color{blue}{\left(e^{\log \left(\sin^{-1} a\right)}\right)}\right)\right)}^{\left(a \cdot a\right)}\]

Runtime

Time bar (total: 4.4m)Debug logProfile

herbie shell --seed '#(376638549 3830080768 3905278455 3542335916 3807831211 3252027093)' 
(FPCore (a)
  :name "Random Jason Timeout Test 011"
  (pow (atan (fmod a (asin a))) (* a a)))