0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.461 * * * [progress]: [2/2] Setting up program. 0.464 * [progress]: [Phase 2 of 3] Improving. 0.465 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.467 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.467 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.467 * * [progress]: iteration 1 / 4 0.467 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.484 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.486 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.486 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.487 * * * [progress]: generating series expansions 0.487 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.488 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.488 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.488 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.488 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.488 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.489 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.489 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.489 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.489 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.490 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.490 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.490 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.490 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.490 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.508 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.509 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.509 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.509 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.531 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.531 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.531 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.531 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.531 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.549 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.549 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.549 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.549 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.549 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.549 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.550 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.550 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.550 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.550 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.550 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.550 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.551 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.551 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.551 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.551 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.551 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.551 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.552 * * * [progress]: simplifying candidates 0.552 * [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 (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 (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 (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.555 * * [simplify]: iteration 0 : 39 enodes (cost 248 ) 0.556 * * [simplify]: iteration 1 : 44 enodes (cost 212 ) 0.558 * * [simplify]: iteration 2 : 54 enodes (cost 212 ) 0.559 * * [simplify]: iteration 3 : 68 enodes (cost 212 ) 0.561 * * [simplify]: iteration 4 : 114 enodes (cost 212 ) 0.563 * * [simplify]: iteration 5 : 228 enodes (cost 212 ) 0.570 * * [simplify]: iteration 6 : 919 enodes (cost 212 ) 0.593 * * [simplify]: iteration 7 : 3184 enodes (cost 212 ) 0.674 * * [simplify]: iteration 8 : 5001 enodes (cost 212 ) 0.675 * [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 (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 (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 (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.676 * * * [progress]: adding candidates to table 0.789 * * [progress]: iteration 2 / 4 0.789 * * * [progress]: picking best candidate 0.825 * * * * [pick]: Picked # 0.825 * * * [progress]: localizing error 0.841 * * * [progress]: generating rewritten candidates 0.841 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 0.844 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.845 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.848 * * * [progress]: generating series expansions 0.848 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.848 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.848 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.848 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.849 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.849 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.849 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.850 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.850 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.850 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.850 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 0.850 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.850 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.850 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.851 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.851 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.870 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.870 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.870 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.871 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.871 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.888 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.888 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.888 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.888 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.888 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.906 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 0.906 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.906 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.906 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.906 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.915 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 0.915 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.915 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.915 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.915 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.924 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 0.924 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.924 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.924 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.924 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.934 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.934 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.934 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.934 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.935 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.935 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.935 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.935 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.935 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.935 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.936 * * * [progress]: simplifying candidates 0.936 * [simplify]: Simplifying using # : (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 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))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp 1)) (log (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* (* (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (sqrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (sqrt (log (exp (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (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)) 0.942 * * [simplify]: iteration 0 : 63 enodes (cost 401 ) 0.943 * * [simplify]: iteration 1 : 92 enodes (cost 342 ) 0.945 * * [simplify]: iteration 2 : 121 enodes (cost 342 ) 0.947 * * [simplify]: iteration 3 : 180 enodes (cost 342 ) 0.949 * * [simplify]: iteration 4 : 339 enodes (cost 342 ) 0.954 * * [simplify]: iteration 5 : 863 enodes (cost 342 ) 0.973 * * [simplify]: iteration 6 : 3913 enodes (cost 342 ) 1.035 * * [simplify]: iteration 7 : 5001 enodes (cost 338 ) 1.037 * [simplify]: Simplified to: (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 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))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) E (atan2 (expm1 (sin (expm1 a))) (atan a)) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* 2 (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) 0 (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (log (log (exp (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (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)) 1.037 * * * [progress]: adding candidates to table 1.174 * * [progress]: iteration 3 / 4 1.174 * * * [progress]: picking best candidate 1.229 * * * * [pick]: Picked # 1.229 * * * [progress]: localizing error 1.251 * * * [progress]: generating rewritten candidates 1.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.262 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1 1 1) 1.263 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1) 1.267 * * * [progress]: generating series expansions 1.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.268 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.268 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.268 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.269 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.269 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.269 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.270 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.270 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.270 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.271 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.271 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.271 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.271 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.271 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.280 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.280 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.280 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.280 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.280 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.290 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.290 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.290 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.290 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.290 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1 1 1) 1.299 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.299 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.299 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.299 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.299 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.317 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.317 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.317 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.317 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.317 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.335 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.335 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.335 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.335 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.336 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.356 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1 1) 1.356 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.356 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.356 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.356 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.356 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.373 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.373 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.374 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.374 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.374 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.391 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.391 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.391 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.391 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.391 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.409 * * * [progress]: simplifying candidates 1.410 * [simplify]: Simplifying using # : (log (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (exp (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (* (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a))) (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (* (* (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a) (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 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(expm1 a))) (atan a)))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2)) (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2)) (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2))) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2))) (* 2 1/2) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow 1 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)))) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 1) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2))) (* (pow (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (pow (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ 1/2 2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (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 (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))) (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) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 1.419 * * [simplify]: iteration 0 : 157 enodes (cost 1048 ) 1.422 * * [simplify]: iteration 1 : 534 enodes (cost 830 ) 1.441 * * [simplify]: iteration 2 : 4696 enodes (cost 773 ) 1.632 * * [simplify]: iteration 3 : 5001 enodes (cost 773 ) 1.635 * [simplify]: Simplified to: (log (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (exp (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (* (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a))) (cbrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) (sqrt (fmod (log (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) a)) 1 (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 2) (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)) (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)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (exp 1) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 2) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 2) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) 4) (* (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (* (sqrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4)) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 1 (* (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (fabs (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 3/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (pow (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) 4) (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2))) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 3/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4) 3) (* (pow (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 3/2) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (cbrt (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2)) 4) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) 3/2) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/4) 3) (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 (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))) (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) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 1.636 * * * [progress]: adding candidates to table 1.861 * * [progress]: iteration 4 / 4 1.861 * * * [progress]: picking best candidate 1.931 * * * * [pick]: Picked # 1.931 * * * [progress]: localizing error 1.949 * * * [progress]: generating rewritten candidates 1.949 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.950 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1) 1.951 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1 1) 1.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.955 * * * [progress]: generating series expansions 1.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.955 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.955 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.955 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.956 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.956 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.956 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.957 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.957 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.957 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.958 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1) 1.958 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.958 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.958 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.958 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.958 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.976 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.976 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.976 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.976 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.976 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.998 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.998 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.998 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.998 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.998 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.015 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1 1) 2.015 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 2.015 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.015 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.016 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.016 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.033 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 2.033 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.033 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.033 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.033 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.050 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 2.050 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.050 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.051 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.051 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.073 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.073 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 2.073 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.073 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.073 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.073 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.091 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 2.091 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.091 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.091 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.091 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.108 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 2.108 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.108 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.108 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.108 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.126 * * * [progress]: simplifying candidates 2.126 * [simplify]: Simplifying using # : (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) 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 (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 (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))) (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 2.129 * * [simplify]: iteration 0 : 29 enodes (cost 306 ) 2.130 * * [simplify]: iteration 1 : 33 enodes (cost 256 ) 2.132 * * [simplify]: iteration 2 : 41 enodes (cost 256 ) 2.133 * * [simplify]: iteration 3 : 60 enodes (cost 245 ) 2.135 * * [simplify]: iteration 4 : 97 enodes (cost 245 ) 2.137 * * [simplify]: iteration 5 : 191 enodes (cost 245 ) 2.143 * * [simplify]: iteration 6 : 787 enodes (cost 245 ) 2.162 * * [simplify]: iteration 7 : 2686 enodes (cost 245 ) 2.235 * * [simplify]: iteration 8 : 5001 enodes (cost 245 ) 2.237 * [simplify]: Simplified to: (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) 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 (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 (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))) (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) 2.237 * * * [progress]: adding candidates to table 2.370 * [progress]: [Phase 3 of 3] Extracting. 2.371 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # #) 2.378 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.378 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # #) 2.502 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 2.542 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # #) 2.651 * * * [regime]: Found split indices: #