0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.325 * * * [progress]: [2/2] Setting up program. 0.328 * [progress]: [Phase 2 of 3] Improving. 0.329 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.331 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.331 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.346 * * * [progress]: generating rewritten candidates 0.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.347 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.348 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.349 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.352 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.353 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.354 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.357 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.357 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.357 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.358 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.358 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.358 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.359 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.359 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.359 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.359 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.359 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.359 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.360 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.360 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.360 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.360 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.360 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.360 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.360 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.360 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.381 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.381 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.381 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.381 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.381 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.400 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.400 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.400 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.400 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.400 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.422 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.423 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.423 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.423 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.423 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.423 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.423 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.424 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.424 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.424 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.424 * * * [progress]: simplifying candidates 0.425 * [simplify]: Simplifying using # : (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (* (* (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a)))) (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.428 * * [simplify]: iteration 0 : 39 enodes (cost 248 ) 0.429 * * [simplify]: iteration 1 : 44 enodes (cost 212 ) 0.431 * * [simplify]: iteration 2 : 54 enodes (cost 212 ) 0.432 * * [simplify]: iteration 3 : 68 enodes (cost 212 ) 0.434 * * [simplify]: iteration 4 : 114 enodes (cost 212 ) 0.436 * * [simplify]: iteration 5 : 228 enodes (cost 212 ) 0.443 * * [simplify]: iteration 6 : 919 enodes (cost 212 ) 0.464 * * [simplify]: iteration 7 : 3184 enodes (cost 212 ) 0.545 * * [simplify]: iteration 8 : 5001 enodes (cost 212 ) 0.546 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (pow (expm1 (sin (expm1 a))) 3) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.546 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 2 / 4 0.664 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.720 * * * [progress]: generating rewritten candidates 0.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.723 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.725 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.725 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.725 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.726 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.726 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.726 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.727 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.727 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.727 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.727 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.727 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 0.727 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.728 * [taylor]: Taking taylor expansion of 1/3 in a 0.728 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.728 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.728 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.728 * [taylor]: Taking taylor expansion of 1/3 in a 0.728 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.728 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.768 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 0.768 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.768 * [taylor]: Taking taylor expansion of 1/3 in a 0.768 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.768 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.769 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.769 * [taylor]: Taking taylor expansion of 1/3 in a 0.769 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.769 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.805 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 0.805 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 0.805 * [taylor]: Taking taylor expansion of 1/3 in a 0.805 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.805 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.806 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 0.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 0.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 0.806 * [taylor]: Taking taylor expansion of 1/3 in a 0.806 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.806 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.845 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 0.845 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.845 * [taylor]: Taking taylor expansion of 1/3 in a 0.845 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.845 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.845 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.845 * [taylor]: Taking taylor expansion of 1/3 in a 0.846 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.846 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.880 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 0.881 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.881 * [taylor]: Taking taylor expansion of 1/3 in a 0.881 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.881 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.881 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.881 * [taylor]: Taking taylor expansion of 1/3 in a 0.881 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.881 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.919 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 0.919 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 0.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 0.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 0.919 * [taylor]: Taking taylor expansion of 1/3 in a 0.919 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.919 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.920 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 0.920 * [taylor]: Taking taylor expansion of 1/3 in a 0.920 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.920 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.960 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.960 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 0.960 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.960 * [taylor]: Taking taylor expansion of 1/3 in a 0.960 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.960 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.960 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.960 * [taylor]: Taking taylor expansion of 1/3 in a 0.960 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.960 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.995 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 0.995 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.995 * [taylor]: Taking taylor expansion of 1/3 in a 0.995 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.995 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.995 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.995 * [taylor]: Taking taylor expansion of 1/3 in a 0.995 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.995 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.034 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.035 * [taylor]: Taking taylor expansion of 1/3 in a 1.035 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.035 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.035 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.035 * [taylor]: Taking taylor expansion of 1/3 in a 1.035 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.035 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.073 * * * [progress]: simplifying candidates 1.073 * [simplify]: Simplifying using # : (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.077 * * [simplify]: iteration 0 : 38 enodes (cost 628 ) 1.078 * * [simplify]: iteration 1 : 68 enodes (cost 546 ) 1.080 * * [simplify]: iteration 2 : 145 enodes (cost 540 ) 1.083 * * [simplify]: iteration 3 : 478 enodes (cost 525 ) 1.095 * * [simplify]: iteration 4 : 2428 enodes (cost 525 ) 1.163 * * [simplify]: iteration 5 : 5002 enodes (cost 525 ) 1.166 * [simplify]: Simplified to: (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.166 * * * [progress]: adding candidates to table 1.338 * * [progress]: iteration 3 / 4 1.338 * * * [progress]: picking best candidate 1.391 * * * * [pick]: Picked # 1.392 * * * [progress]: localizing error 1.412 * * * [progress]: generating rewritten candidates 1.412 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.413 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 1.413 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.414 * * * [progress]: generating series expansions 1.414 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.415 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.415 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.415 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.416 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.416 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.416 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.417 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.417 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.417 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.418 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.418 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.418 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.418 * [taylor]: Taking taylor expansion of 1/3 in a 1.418 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.418 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.418 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.418 * [taylor]: Taking taylor expansion of 1/3 in a 1.418 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.418 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.452 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.452 * [taylor]: Taking taylor expansion of 1/3 in a 1.452 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.452 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.453 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.453 * [taylor]: Taking taylor expansion of 1/3 in a 1.453 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.453 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.492 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.492 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.492 * [taylor]: Taking taylor expansion of 1/3 in a 1.492 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.492 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.492 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.492 * [taylor]: Taking taylor expansion of 1/3 in a 1.492 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.493 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 1.529 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.529 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.529 * [taylor]: Taking taylor expansion of 1/3 in a 1.529 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.529 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.529 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.530 * [taylor]: Taking taylor expansion of 1/3 in a 1.530 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.530 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.564 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.564 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.564 * [taylor]: Taking taylor expansion of 1/3 in a 1.564 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.564 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.564 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.565 * [taylor]: Taking taylor expansion of 1/3 in a 1.565 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.565 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.604 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.604 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.604 * [taylor]: Taking taylor expansion of 1/3 in a 1.604 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.604 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.604 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.604 * [taylor]: Taking taylor expansion of 1/3 in a 1.604 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.604 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.640 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.640 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.640 * [taylor]: Taking taylor expansion of 1/3 in a 1.640 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.640 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.640 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.640 * [taylor]: Taking taylor expansion of 1/3 in a 1.640 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.640 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.678 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.678 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.678 * [taylor]: Taking taylor expansion of 1/3 in a 1.678 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.678 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.679 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.679 * [taylor]: Taking taylor expansion of 1/3 in a 1.679 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.679 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.714 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.714 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.714 * [taylor]: Taking taylor expansion of 1/3 in a 1.714 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.714 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.715 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.715 * [taylor]: Taking taylor expansion of 1/3 in a 1.715 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.715 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.753 * * * [progress]: simplifying candidates 1.754 * [simplify]: Simplifying using # : (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.757 * * [simplify]: iteration 0 : 47 enodes (cost 638 ) 1.759 * * [simplify]: iteration 1 : 110 enodes (cost 554 ) 1.761 * * [simplify]: iteration 2 : 381 enodes (cost 548 ) 1.771 * * [simplify]: iteration 3 : 2048 enodes (cost 532 ) 1.829 * * [simplify]: iteration 4 : 5001 enodes (cost 529 ) 1.831 * [simplify]: Simplified to: (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.831 * * * [progress]: adding candidates to table 2.011 * * [progress]: iteration 4 / 4 2.011 * * * [progress]: picking best candidate 2.064 * * * * [pick]: Picked # 2.064 * * * [progress]: localizing error 2.092 * * * [progress]: generating rewritten candidates 2.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.093 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 2.094 * * * [progress]: generating series expansions 2.094 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.095 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.095 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.095 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.096 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.096 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.096 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.097 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.097 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.097 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.097 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.098 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.098 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.098 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.099 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.099 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.099 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.100 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.100 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.100 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.101 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.101 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.101 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.101 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.102 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.102 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.102 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.103 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.103 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.103 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 2.104 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 2.104 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 2.104 * [taylor]: Taking taylor expansion of 1/3 in a 2.104 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 2.104 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.104 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 2.104 * [taylor]: Taking taylor expansion of 1/3 in a 2.104 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 2.104 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.140 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 2.140 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 2.140 * [taylor]: Taking taylor expansion of 1/3 in a 2.140 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 2.140 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.140 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 2.140 * [taylor]: Taking taylor expansion of 1/3 in a 2.140 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 2.140 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.176 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 2.176 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 2.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 2.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 2.176 * [taylor]: Taking taylor expansion of 1/3 in a 2.176 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.176 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.177 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 2.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 2.177 * [taylor]: Taking taylor expansion of 1/3 in a 2.177 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.177 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.216 * * * [progress]: simplifying candidates 2.216 * [simplify]: Simplifying using # : (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 2.220 * * [simplify]: iteration 0 : 47 enodes (cost 874 ) 2.222 * * [simplify]: iteration 1 : 110 enodes (cost 726 ) 2.224 * * [simplify]: iteration 2 : 381 enodes (cost 724 ) 2.234 * * [simplify]: iteration 3 : 2048 enodes (cost 676 ) 2.292 * * [simplify]: iteration 4 : 5001 enodes (cost 675 ) 2.295 * [simplify]: Simplified to: (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1/2) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 2.295 * * * [progress]: adding candidates to table 2.502 * [progress]: [Phase 3 of 3] Extracting. 2.502 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 2.516 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.516 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # #) 2.639 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # #) 2.683 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # #) 2.786 * * * [regime]: Found split indices: #