0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.400 * * * [progress]: [2/2] Setting up program. 0.404 * [progress]: [Phase 2 of 3] Improving. 0.404 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.406 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.406 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.406 * * [progress]: iteration 1 / 4 0.406 * * * [progress]: picking best candidate 0.409 * * * * [pick]: Picked # 0.409 * * * [progress]: localizing error 0.427 * * * [progress]: generating rewritten candidates 0.427 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.428 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1) 0.430 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.431 * * * [progress]: generating series expansions 0.431 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.433 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.434 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.435 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.438 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.438 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.438 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.439 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.439 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.439 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.440 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1) 0.440 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.440 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.440 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.440 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.440 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.440 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.440 * [taylor]: Rewrote expression to (- (exp a) 1) 0.440 * [taylor]: Taking taylor expansion of (exp a) in a 0.440 * [taylor]: Taking taylor expansion of a in a 0.440 * [taylor]: Taking taylor expansion of 1 in a 0.444 * [taylor]: Taking taylor expansion of 1 in a 0.444 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.444 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.444 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.444 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.444 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.444 * [taylor]: Rewrote expression to (- (exp a) 1) 0.444 * [taylor]: Taking taylor expansion of (exp a) in a 0.444 * [taylor]: Taking taylor expansion of a in a 0.444 * [taylor]: Taking taylor expansion of 1 in a 0.446 * [taylor]: Taking taylor expansion of 1 in a 0.456 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.456 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.456 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.456 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.456 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.457 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.457 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.457 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.457 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.457 * [taylor]: Taking taylor expansion of a in a 0.457 * [taylor]: Taking taylor expansion of 1 in a 0.458 * [taylor]: Taking taylor expansion of 1 in a 0.458 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.458 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.458 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.458 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.458 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.458 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.458 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.458 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.458 * [taylor]: Taking taylor expansion of a in a 0.458 * [taylor]: Taking taylor expansion of 1 in a 0.459 * [taylor]: Taking taylor expansion of 1 in a 0.491 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.491 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.491 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.491 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.491 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.491 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.491 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.491 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.491 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.491 * [taylor]: Taking taylor expansion of -1 in a 0.491 * [taylor]: Taking taylor expansion of a in a 0.492 * [taylor]: Taking taylor expansion of 1 in a 0.492 * [taylor]: Taking taylor expansion of 1 in a 0.492 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.492 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.492 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.492 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.492 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.492 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.492 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.492 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.492 * [taylor]: Taking taylor expansion of -1 in a 0.492 * [taylor]: Taking taylor expansion of a in a 0.493 * [taylor]: Taking taylor expansion of 1 in a 0.493 * [taylor]: Taking taylor expansion of 1 in a 0.529 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.530 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.530 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.530 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.530 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.530 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.530 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.531 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.531 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.531 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.531 * * * [progress]: simplifying candidates 0.532 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (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)) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (log1p (expm1 (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)))) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan 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) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.535 * * [simplify]: iteration 0 : 73 enodes (cost 248 ) 0.537 * * [simplify]: iteration 1 : 147 enodes (cost 216 ) 0.539 * * [simplify]: iteration 2 : 421 enodes (cost 216 ) 0.547 * * [simplify]: iteration 3 : 1258 enodes (cost 216 ) 0.581 * * [simplify]: iteration 4 : 5001 enodes (cost 216 ) 0.583 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (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)) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (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)))) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan 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) (fma (pow a 3) 2/3 (fma a a 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)) 0.583 * * * [progress]: adding candidates to table 0.699 * * [progress]: iteration 2 / 4 0.699 * * * [progress]: picking best candidate 0.740 * * * * [pick]: Picked # 0.740 * * * [progress]: localizing error 0.757 * * * [progress]: generating rewritten candidates 0.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.760 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.761 * * * [progress]: generating series expansions 0.761 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.761 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.761 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.761 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.761 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.761 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.762 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.762 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.762 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.762 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.763 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 0.763 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.763 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.763 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.763 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.775 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 0.775 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.775 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.775 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.775 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.785 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 0.785 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.785 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.785 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.785 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.794 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.794 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.794 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.794 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.795 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.795 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.795 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.795 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.795 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.796 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 0.796 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.796 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.796 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.796 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.796 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.796 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.796 * [taylor]: Rewrote expression to (- (exp a) 1) 0.796 * [taylor]: Taking taylor expansion of (exp a) in a 0.796 * [taylor]: Taking taylor expansion of a in a 0.796 * [taylor]: Taking taylor expansion of 1 in a 0.798 * [taylor]: Taking taylor expansion of 1 in a 0.798 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.798 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.798 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.798 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.798 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.798 * [taylor]: Rewrote expression to (- (exp a) 1) 0.799 * [taylor]: Taking taylor expansion of (exp a) in a 0.799 * [taylor]: Taking taylor expansion of a in a 0.799 * [taylor]: Taking taylor expansion of 1 in a 0.800 * [taylor]: Taking taylor expansion of 1 in a 0.810 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.810 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.810 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.810 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.810 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.810 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.810 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.810 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.810 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.810 * [taylor]: Taking taylor expansion of a in a 0.810 * [taylor]: Taking taylor expansion of 1 in a 0.811 * [taylor]: Taking taylor expansion of 1 in a 0.811 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.811 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.811 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.811 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.811 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.811 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.811 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.811 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.811 * [taylor]: Taking taylor expansion of a in a 0.811 * [taylor]: Taking taylor expansion of 1 in a 0.812 * [taylor]: Taking taylor expansion of 1 in a 0.844 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.845 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.845 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.845 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.845 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.845 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.845 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.845 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.845 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.845 * [taylor]: Taking taylor expansion of -1 in a 0.845 * [taylor]: Taking taylor expansion of a in a 0.845 * [taylor]: Taking taylor expansion of 1 in a 0.846 * [taylor]: Taking taylor expansion of 1 in a 0.846 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.846 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.846 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.846 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.846 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.846 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.846 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.846 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.846 * [taylor]: Taking taylor expansion of -1 in a 0.846 * [taylor]: Taking taylor expansion of a in a 0.846 * [taylor]: Taking taylor expansion of 1 in a 0.847 * [taylor]: Taking taylor expansion of 1 in a 0.883 * * * [progress]: simplifying candidates 0.884 * [simplify]: Simplifying using # : (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (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)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan 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)))) (expm1 (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log1p (log (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))))) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (log1p (expm1 (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)))) (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))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) 0.888 * * [simplify]: iteration 0 : 104 enodes (cost 472 ) 0.890 * * [simplify]: iteration 1 : 205 enodes (cost 410 ) 0.893 * * [simplify]: iteration 2 : 516 enodes (cost 410 ) 0.902 * * [simplify]: iteration 3 : 1518 enodes (cost 410 ) 0.942 * * [simplify]: iteration 4 : 5002 enodes (cost 410 ) 0.944 * [simplify]: Simplified to: (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (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)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan 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) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log1p (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* 2 (log (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))))) 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))) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (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)))) (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))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (fma (pow a 3) 2/3 (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) 0.944 * * * [progress]: adding candidates to table 1.138 * * [progress]: iteration 3 / 4 1.138 * * * [progress]: picking best candidate 1.200 * * * * [pick]: Picked # 1.200 * * * [progress]: localizing error 1.220 * * * [progress]: generating rewritten candidates 1.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 1.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.225 * * * [progress]: generating series expansions 1.225 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.225 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in (a) around 0 1.225 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.226 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.226 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in (a) around 0 1.226 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.227 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.228 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in (a) around 0 1.228 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.228 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 1.229 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.229 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.229 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.229 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.229 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.238 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.238 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.238 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.238 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.238 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.248 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.248 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.248 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.248 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.248 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.257 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1.257 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.258 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.258 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.258 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.258 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.266 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.267 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.267 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.267 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.267 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 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 1.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.289 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in (a) around 0 1.289 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.289 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.289 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.289 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.291 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.291 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.291 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.291 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.324 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in (a) around 0 1.324 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.324 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.324 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.324 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.325 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.325 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.325 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.325 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.364 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in (a) around 0 1.364 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.364 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.364 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.364 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.366 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.366 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.366 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.366 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.400 * * * [progress]: simplifying candidates 1.401 * [simplify]: Simplifying using # : (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log 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a)))))) (log (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp 1)) (log (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (exp (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (cbrt (log (sqrt (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 (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (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))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (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 (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 1.405 * * [simplify]: iteration 0 : 76 enodes (cost 773 ) 1.406 * * [simplify]: iteration 1 : 100 enodes (cost 678 ) 1.408 * * [simplify]: iteration 2 : 127 enodes (cost 678 ) 1.410 * * [simplify]: iteration 3 : 187 enodes (cost 678 ) 1.413 * * [simplify]: iteration 4 : 358 enodes (cost 678 ) 1.418 * * [simplify]: iteration 5 : 884 enodes (cost 678 ) 1.437 * * [simplify]: iteration 6 : 3890 enodes (cost 678 ) 1.498 * * [simplify]: iteration 7 : 5001 enodes (cost 666 ) 1.501 * [simplify]: Simplified to: (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (pow (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan 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(expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan 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) (expm1 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log1p (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* 2 (log (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (sqrt (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt 1)) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) 0 (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (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 (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (pow (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 3) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (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))) (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)) 2) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) 1.501 * * * [progress]: adding candidates to table 1.789 * * [progress]: iteration 4 / 4 1.789 * * * [progress]: picking best candidate 1.867 * * * * [pick]: Picked # 1.867 * * * [progress]: localizing error 1.896 * * * [progress]: generating rewritten candidates 1.896 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.896 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.897 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1 1) 1.898 * * * [progress]: generating series expansions 1.898 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.899 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in (a) around 0 1.899 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.899 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.900 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in (a) around 0 1.900 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.900 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.901 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in (a) around 0 1.901 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.901 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.902 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.902 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in (a) around 0 1.902 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.902 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.903 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in (a) around 0 1.903 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.903 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.904 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in (a) around 0 1.904 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.904 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.905 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.905 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in (a) around 0 1.905 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.906 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.906 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in (a) around 0 1.906 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.907 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.908 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in (a) around 0 1.908 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.908 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.909 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 1 1) 1.909 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.909 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.909 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.909 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.909 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.918 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.918 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.918 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.919 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.919 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.928 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.928 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.928 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.928 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.928 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.937 * * * [progress]: simplifying candidates 1.938 * [simplify]: Simplifying using # : (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (* (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (* (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (* (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan 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)))) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (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))) 1.943 * * [simplify]: iteration 0 : 48 enodes (cost 894 ) 1.944 * * [simplify]: iteration 1 : 68 enodes (cost 747 ) 1.945 * * [simplify]: iteration 2 : 87 enodes (cost 747 ) 1.947 * * [simplify]: iteration 3 : 128 enodes (cost 747 ) 1.949 * * [simplify]: iteration 4 : 228 enodes (cost 747 ) 1.953 * * [simplify]: iteration 5 : 550 enodes (cost 747 ) 1.967 * * [simplify]: iteration 6 : 2633 enodes (cost 747 ) 2.013 * * [simplify]: iteration 7 : 5001 enodes (cost 747 ) 2.016 * [simplify]: Simplified to: (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (pow (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) 3) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (pow (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) 3) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (pow (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) 3) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan 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) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (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))) 2.016 * * * [progress]: adding candidates to table 2.283 * [progress]: [Phase 3 of 3] Extracting. 2.283 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # #) 2.294 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.294 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # #) 2.428 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 2.474 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # #) 2.588 * * * [regime]: Found split indices: #