0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.405 * * * [progress]: [2/2] Setting up program. 0.409 * [progress]: [Phase 2 of 3] Improving. 0.409 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.411 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.411 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.412 * * [progress]: iteration 1 / 4 0.412 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.415 * * * [progress]: localizing error 0.427 * * * [progress]: generating rewritten candidates 0.427 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.427 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1 1) 0.428 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.429 * * * [progress]: generating series expansions 0.429 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.429 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.429 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.430 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.430 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.430 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.430 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.431 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.431 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.431 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.431 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1 1) 0.432 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.432 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.432 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.432 * [taylor]: Rewrote expression to (- (exp a) 1) 0.432 * [taylor]: Taking taylor expansion of (exp a) in a 0.432 * [taylor]: Taking taylor expansion of a in a 0.432 * [taylor]: Taking taylor expansion of 1 in a 0.434 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.434 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.434 * [taylor]: Rewrote expression to (- (exp a) 1) 0.434 * [taylor]: Taking taylor expansion of (exp a) in a 0.434 * [taylor]: Taking taylor expansion of a in a 0.434 * [taylor]: Taking taylor expansion of 1 in a 0.444 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.444 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.444 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.445 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.445 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.445 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.445 * [taylor]: Taking taylor expansion of a in a 0.445 * [taylor]: Taking taylor expansion of 1 in a 0.445 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.445 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.445 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.445 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.445 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.445 * [taylor]: Taking taylor expansion of a in a 0.446 * [taylor]: Taking taylor expansion of 1 in a 0.467 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.467 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.467 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.467 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.467 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.467 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.468 * [taylor]: Taking taylor expansion of -1 in a 0.468 * [taylor]: Taking taylor expansion of a in a 0.468 * [taylor]: Taking taylor expansion of 1 in a 0.468 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.468 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.468 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.468 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.468 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.468 * [taylor]: Taking taylor expansion of -1 in a 0.468 * [taylor]: Taking taylor expansion of a in a 0.469 * [taylor]: Taking taylor expansion of 1 in a 0.494 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.494 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.494 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.495 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.495 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.495 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.495 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.495 * [taylor]: Rewrote expression to (- (exp a) 1) 0.495 * [taylor]: Taking taylor expansion of (exp a) in a 0.495 * [taylor]: Taking taylor expansion of a in a 0.495 * [taylor]: Taking taylor expansion of 1 in a 0.497 * [taylor]: Taking taylor expansion of 1 in a 0.497 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.497 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.497 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.497 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.497 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.497 * [taylor]: Rewrote expression to (- (exp a) 1) 0.497 * [taylor]: Taking taylor expansion of (exp a) in a 0.497 * [taylor]: Taking taylor expansion of a in a 0.497 * [taylor]: Taking taylor expansion of 1 in a 0.499 * [taylor]: Taking taylor expansion of 1 in a 0.509 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.509 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.509 * [taylor]: Taking taylor expansion of (exp (sin (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 0.510 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.510 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.510 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.510 * [taylor]: Taking taylor expansion of a in a 0.510 * [taylor]: Taking taylor expansion of 1 in a 0.511 * [taylor]: Taking taylor expansion of 1 in a 0.511 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.511 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.511 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.511 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.511 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.511 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.511 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.511 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.511 * [taylor]: Taking taylor expansion of a in a 0.511 * [taylor]: Taking taylor expansion of 1 in a 0.512 * [taylor]: Taking taylor expansion of 1 in a 0.544 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.544 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.544 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.544 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.544 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.544 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.544 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.544 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.544 * [taylor]: Taking taylor expansion of -1 in a 0.544 * [taylor]: Taking taylor expansion of a in a 0.544 * [taylor]: Taking taylor expansion of 1 in a 0.545 * [taylor]: Taking taylor expansion of 1 in a 0.545 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.545 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.545 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.545 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.545 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.545 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.545 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.545 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.545 * [taylor]: Taking taylor expansion of -1 in a 0.545 * [taylor]: Taking taylor expansion of a in a 0.546 * [taylor]: Taking taylor expansion of 1 in a 0.546 * [taylor]: Taking taylor expansion of 1 in a 0.584 * * * [progress]: simplifying candidates 0.584 * [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)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (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 (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) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) 0.587 * * [simplify]: iteration 0 : 98 enodes (cost 215 ) 0.590 * * [simplify]: iteration 1 : 231 enodes (cost 188 ) 0.594 * * [simplify]: iteration 2 : 706 enodes (cost 188 ) 0.610 * * [simplify]: iteration 3 : 2915 enodes (cost 188 ) 0.704 * * [simplify]: iteration 4 : 5001 enodes (cost 188 ) 0.705 * [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)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (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 (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) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (fma (pow a 3) 2/3 (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) 0.705 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 2 / 4 0.835 * * * [progress]: picking best candidate 0.870 * * * * [pick]: Picked # 0.870 * * * [progress]: localizing error 0.887 * * * [progress]: generating rewritten candidates 0.887 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.888 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.889 * * * [progress]: generating series expansions 0.889 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.889 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.889 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.890 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.891 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.891 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.891 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.892 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.892 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.892 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.892 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.892 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.892 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.892 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.893 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.893 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.893 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.894 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.894 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.894 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.894 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.894 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.895 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.895 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.895 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.895 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) 0.896 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.896 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.896 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.896 * [taylor]: Rewrote expression to (- (exp a) 1) 0.896 * [taylor]: Taking taylor expansion of (exp a) in a 0.896 * [taylor]: Taking taylor expansion of a in a 0.896 * [taylor]: Taking taylor expansion of 1 in a 0.901 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.901 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.901 * [taylor]: Rewrote expression to (- (exp a) 1) 0.901 * [taylor]: Taking taylor expansion of (exp a) in a 0.901 * [taylor]: Taking taylor expansion of a in a 0.901 * [taylor]: Taking taylor expansion of 1 in a 0.912 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.912 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.912 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.912 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.912 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.912 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.912 * [taylor]: Taking taylor expansion of a in a 0.912 * [taylor]: Taking taylor expansion of 1 in a 0.913 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.913 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.913 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.913 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.913 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.913 * [taylor]: Taking taylor expansion of a in a 0.913 * [taylor]: Taking taylor expansion of 1 in a 0.934 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.934 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.934 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.935 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.935 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.935 * [taylor]: Taking taylor expansion of -1 in a 0.935 * [taylor]: Taking taylor expansion of a in a 0.935 * [taylor]: Taking taylor expansion of 1 in a 0.935 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.935 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.935 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.936 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.936 * [taylor]: Taking taylor expansion of -1 in a 0.936 * [taylor]: Taking taylor expansion of a in a 0.936 * [taylor]: Taking taylor expansion of 1 in a 0.957 * * * [progress]: simplifying candidates 0.958 * [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)) (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)) (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)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 0.961 * * [simplify]: iteration 0 : 67 enodes (cost 360 ) 0.963 * * [simplify]: iteration 1 : 138 enodes (cost 315 ) 0.966 * * [simplify]: iteration 2 : 360 enodes (cost 315 ) 0.973 * * [simplify]: iteration 3 : 1390 enodes (cost 315 ) 1.020 * * [simplify]: iteration 4 : 5001 enodes (cost 315 ) 1.022 * [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)) (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)) (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)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.022 * * * [progress]: adding candidates to table 1.230 * * [progress]: iteration 3 / 4 1.230 * * * [progress]: picking best candidate 1.310 * * * * [pick]: Picked # 1.310 * * * [progress]: localizing error 1.343 * * * [progress]: generating rewritten candidates 1.343 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.344 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.344 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 1.353 * * * [progress]: generating series expansions 1.353 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.353 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.353 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.353 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.354 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.354 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.354 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.355 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.355 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.355 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.355 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.356 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.356 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.356 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.356 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.356 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.356 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.357 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.357 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.357 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.358 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.358 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.358 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.358 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.359 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.359 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.360 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 1.360 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 1.360 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.360 * [taylor]: Taking taylor expansion of 1/3 in a 1.360 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.360 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.360 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.360 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.360 * [taylor]: Rewrote expression to (- (exp a) 1) 1.360 * [taylor]: Taking taylor expansion of (exp a) in a 1.360 * [taylor]: Taking taylor expansion of a in a 1.361 * [taylor]: Taking taylor expansion of 1 in a 1.364 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.364 * [taylor]: Taking taylor expansion of 1/3 in a 1.364 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.364 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.364 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.364 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.364 * [taylor]: Rewrote expression to (- (exp a) 1) 1.364 * [taylor]: Taking taylor expansion of (exp a) in a 1.364 * [taylor]: Taking taylor expansion of a in a 1.364 * [taylor]: Taking taylor expansion of 1 in a 1.378 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 1.378 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.378 * [taylor]: Taking taylor expansion of 1/3 in a 1.379 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.379 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.379 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.379 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.379 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.379 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.379 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.379 * [taylor]: Taking taylor expansion of a in a 1.379 * [taylor]: Taking taylor expansion of 1 in a 1.380 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.380 * [taylor]: Taking taylor expansion of 1/3 in a 1.380 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.380 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.380 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.380 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.380 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.380 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.380 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.380 * [taylor]: Taking taylor expansion of a in a 1.381 * [taylor]: Taking taylor expansion of 1 in a 1.446 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 1.446 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.446 * [taylor]: Taking taylor expansion of 1/3 in a 1.446 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.446 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.446 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.446 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.446 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.446 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.446 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.446 * [taylor]: Taking taylor expansion of -1 in a 1.446 * [taylor]: Taking taylor expansion of a in a 1.447 * [taylor]: Taking taylor expansion of 1 in a 1.448 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.448 * [taylor]: Taking taylor expansion of 1/3 in a 1.448 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.448 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.448 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.448 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.448 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.448 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.448 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.448 * [taylor]: Taking taylor expansion of -1 in a 1.448 * [taylor]: Taking taylor expansion of a in a 1.448 * [taylor]: Taking taylor expansion of 1 in a 1.515 * * * [progress]: simplifying candidates 1.516 * [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)) (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)) (expm1 (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (+ 1 1) (+ (log (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a))))) (log (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (exp (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 1 1) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 2 1/3) (* 2 1) (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt 1)) (* (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) 1) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (pow a 2/3) (* 1/3 (pow (pow a 5) 1/3))) (* 1/36 (pow (pow a 8) 1/3))) (pow (pow (sin (- (exp a) 1)) 2) 1/3) (pow (pow (sin (- (exp a) 1)) 2) 1/3) 1.521 * * [simplify]: iteration 0 : 151 enodes (cost 788 ) 1.524 * * [simplify]: iteration 1 : 447 enodes (cost 697 ) 1.536 * * [simplify]: iteration 2 : 1900 enodes (cost 571 ) 1.580 * * [simplify]: iteration 3 : 5001 enodes (cost 561 ) 1.582 * [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)) (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)) (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)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) 2/3 2 (pow (sin (expm1 a)) 2) (pow (pow (sin (expm1 a)) 2) 1/3) 2 (* 2 (log (cbrt (sin (expm1 a))))) (* 2 (log (cbrt (sin (expm1 a))))) (pow (exp 1) (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (pow (sin (expm1 a)) 2) (fabs (cbrt (sin (expm1 a)))) (fabs (cbrt (sin (expm1 a)))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) 1 (pow (pow (sin (expm1 a)) 2) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 1 (pow (pow (sin (expm1 a)) 2) 1/3) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 2/3 2 (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 5) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (pow (sin (expm1 a)) 2) 1/3) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow (pow a 5) 1/3) 1/3 (- (pow a 2/3) (* 1/36 (pow (pow a 8) 1/3)))) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) 1.583 * * * [progress]: adding candidates to table 1.960 * * [progress]: iteration 4 / 4 1.960 * * * [progress]: picking best candidate 2.107 * * * * [pick]: Picked # 2.107 * * * [progress]: localizing error 2.145 * * * [progress]: generating rewritten candidates 2.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.145 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.146 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.146 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1 1 2) 2.150 * * * [progress]: generating series expansions 2.150 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.150 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.151 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.151 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.152 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.152 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.152 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.153 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.153 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.153 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.154 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.154 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.154 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.155 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.155 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.155 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.155 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.155 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.155 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.156 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.156 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.156 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.156 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.157 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.157 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.157 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.157 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.157 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.158 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.158 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1 1 2) 2.158 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.158 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.158 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.158 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.158 * [taylor]: Taking taylor expansion of 1/9 in a 2.158 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.158 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.158 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.158 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.158 * [taylor]: Rewrote expression to (- (exp a) 1) 2.159 * [taylor]: Taking taylor expansion of (exp a) in a 2.159 * [taylor]: Taking taylor expansion of a in a 2.159 * [taylor]: Taking taylor expansion of 1 in a 2.162 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.162 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.162 * [taylor]: Taking taylor expansion of 1/9 in a 2.162 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.162 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.162 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.162 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.162 * [taylor]: Rewrote expression to (- (exp a) 1) 2.162 * [taylor]: Taking taylor expansion of (exp a) in a 2.162 * [taylor]: Taking taylor expansion of a in a 2.162 * [taylor]: Taking taylor expansion of 1 in a 2.179 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.179 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.179 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.179 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.179 * [taylor]: Taking taylor expansion of 1/9 in a 2.179 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.179 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.179 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.179 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.180 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.180 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.180 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.180 * [taylor]: Taking taylor expansion of a in a 2.180 * [taylor]: Taking taylor expansion of 1 in a 2.181 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.181 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.181 * [taylor]: Taking taylor expansion of 1/9 in a 2.181 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.181 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.181 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.181 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.181 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.181 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.181 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.181 * [taylor]: Taking taylor expansion of a in a 2.182 * [taylor]: Taking taylor expansion of 1 in a 2.243 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.243 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.243 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.243 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.243 * [taylor]: Taking taylor expansion of 1/9 in a 2.243 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.243 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.243 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.243 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.243 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.243 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.243 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.243 * [taylor]: Taking taylor expansion of -1 in a 2.243 * [taylor]: Taking taylor expansion of a in a 2.243 * [taylor]: Taking taylor expansion of 1 in a 2.244 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.244 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.244 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.244 * [taylor]: Taking taylor expansion of 1/9 in a 2.245 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.245 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.245 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.245 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.245 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.245 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.245 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.245 * [taylor]: Taking taylor expansion of -1 in a 2.245 * [taylor]: Taking taylor expansion of a in a 2.245 * [taylor]: Taking taylor expansion of 1 in a 2.310 * * * [progress]: simplifying candidates 2.311 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (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)) (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)) (expm1 (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log1p (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (* 1/9 (pow (pow a 11) 1/9)) (pow a 2/9)) (* 7/324 (pow (pow a 20) 1/9))) (pow (pow (sin (- (exp a) 1)) 2) 1/9) (pow (pow (sin (- (exp a) 1)) 2) 1/9) 2.315 * * [simplify]: iteration 0 : 110 enodes (cost 789 ) 2.317 * * [simplify]: iteration 1 : 229 enodes (cost 672 ) 2.321 * * [simplify]: iteration 2 : 570 enodes (cost 670 ) 2.332 * * [simplify]: iteration 3 : 1672 enodes (cost 670 ) 2.380 * * [simplify]: iteration 4 : 5001 enodes (cost 670 ) 2.383 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) a)) (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)) (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)) (expm1 (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log1p (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow (pow a 11) 1/9) 1/9 (- (pow a 2/9) (* 7/324 (pow (pow a 20) 1/9)))) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.383 * * * [progress]: adding candidates to table 2.712 * [progress]: [Phase 3 of 3] Extracting. 2.712 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.742 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.742 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.962 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # #) 3.014 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.217 * * * [regime]: Found split indices: #