0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.467 * * * [progress]: [2/2] Setting up program. 0.470 * [progress]: [Phase 2 of 3] Improving. 0.470 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.473 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.473 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.473 * * [progress]: iteration 1 / 4 0.473 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.488 * * * [progress]: generating rewritten candidates 0.488 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.489 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.489 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.490 * * * [progress]: generating series expansions 0.490 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.490 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.490 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.490 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.491 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.491 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.491 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.492 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.492 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.492 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.492 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.492 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.493 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.493 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.493 * [taylor]: Rewrote expression to (- (exp a) 1) 0.493 * [taylor]: Taking taylor expansion of (exp a) in a 0.493 * [taylor]: Taking taylor expansion of a in a 0.493 * [taylor]: Taking taylor expansion of 1 in a 0.494 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.494 * [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 0.505 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.505 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.505 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.505 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.505 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.505 * [taylor]: Taking taylor expansion of a in a 0.506 * [taylor]: Taking taylor expansion of 1 in a 0.506 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.506 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.506 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.506 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.506 * [taylor]: Taking taylor expansion of a in a 0.507 * [taylor]: Taking taylor expansion of 1 in a 0.528 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.528 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.528 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.528 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.529 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.529 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.529 * [taylor]: Taking taylor expansion of -1 in a 0.529 * [taylor]: Taking taylor expansion of a in a 0.529 * [taylor]: Taking taylor expansion of 1 in a 0.529 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.529 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.529 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.529 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.530 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.530 * [taylor]: Taking taylor expansion of -1 in a 0.530 * [taylor]: Taking taylor expansion of a in a 0.530 * [taylor]: Taking taylor expansion of 1 in a 0.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.555 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.555 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.555 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.556 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.556 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.556 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.556 * [taylor]: Rewrote expression to (- (exp a) 1) 0.556 * [taylor]: Taking taylor expansion of (exp a) in a 0.556 * [taylor]: Taking taylor expansion of a in a 0.556 * [taylor]: Taking taylor expansion of 1 in a 0.558 * [taylor]: Taking taylor expansion of 1 in a 0.558 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.558 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.558 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.558 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.558 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.558 * [taylor]: Rewrote expression to (- (exp a) 1) 0.558 * [taylor]: Taking taylor expansion of (exp a) in a 0.558 * [taylor]: Taking taylor expansion of a in a 0.558 * [taylor]: Taking taylor expansion of 1 in a 0.560 * [taylor]: Taking taylor expansion of 1 in a 0.570 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.570 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.570 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.570 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.570 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.570 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.570 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.570 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.570 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.570 * [taylor]: Taking taylor expansion of a in a 0.570 * [taylor]: Taking taylor expansion of 1 in a 0.571 * [taylor]: Taking taylor expansion of 1 in a 0.571 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.571 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.571 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.571 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.571 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.571 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.571 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.571 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.571 * [taylor]: Taking taylor expansion of a in a 0.571 * [taylor]: Taking taylor expansion of 1 in a 0.572 * [taylor]: Taking taylor expansion of 1 in a 0.604 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.604 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.604 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.604 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.604 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.604 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.604 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.604 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.604 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.604 * [taylor]: Taking taylor expansion of -1 in a 0.604 * [taylor]: Taking taylor expansion of a in a 0.604 * [taylor]: Taking taylor expansion of 1 in a 0.605 * [taylor]: Taking taylor expansion of 1 in a 0.605 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.605 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.605 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.605 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.605 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.605 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.605 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.605 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.605 * [taylor]: Taking taylor expansion of -1 in a 0.605 * [taylor]: Taking taylor expansion of a in a 0.606 * [taylor]: Taking taylor expansion of 1 in a 0.606 * [taylor]: Taking taylor expansion of 1 in a 0.642 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.642 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.642 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.642 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.643 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.643 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.643 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.643 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.643 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.643 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.644 * * * [progress]: simplifying candidates 0.644 * [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)))) (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) (- (+ (* 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) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.648 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.650 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.654 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.670 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.763 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.764 * [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)))) (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 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))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.765 * * * [progress]: adding candidates to table 0.920 * * [progress]: iteration 2 / 4 0.920 * * * [progress]: picking best candidate 0.961 * * * * [pick]: Picked # 0.961 * * * [progress]: localizing error 0.977 * * * [progress]: generating rewritten candidates 0.977 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.977 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.978 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.980 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 0.982 * * * [progress]: generating series expansions 0.982 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.982 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.982 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.982 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.983 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.983 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.983 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.983 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.984 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.984 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.984 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 0.984 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.984 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.984 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.984 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.995 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 0.995 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.995 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.995 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.995 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.006 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 1.006 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.006 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.006 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.006 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.020 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.020 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.020 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.020 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.020 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.020 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.021 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.021 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.021 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 1.021 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.021 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.021 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.021 * [taylor]: Rewrote expression to (- (exp a) 1) 1.022 * [taylor]: Taking taylor expansion of (exp a) in a 1.022 * [taylor]: Taking taylor expansion of a in a 1.022 * [taylor]: Taking taylor expansion of 1 in a 1.023 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.023 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.023 * [taylor]: Rewrote expression to (- (exp a) 1) 1.023 * [taylor]: Taking taylor expansion of (exp a) in a 1.023 * [taylor]: Taking taylor expansion of a in a 1.023 * [taylor]: Taking taylor expansion of 1 in a 1.033 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.033 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.033 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.034 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.034 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.034 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.034 * [taylor]: Taking taylor expansion of a in a 1.034 * [taylor]: Taking taylor expansion of 1 in a 1.034 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.034 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.034 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.034 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.034 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.034 * [taylor]: Taking taylor expansion of a in a 1.035 * [taylor]: Taking taylor expansion of 1 in a 1.056 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.056 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.056 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.056 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.056 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.056 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.056 * [taylor]: Taking taylor expansion of -1 in a 1.056 * [taylor]: Taking taylor expansion of a in a 1.056 * [taylor]: Taking taylor expansion of 1 in a 1.057 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.057 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.057 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.057 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.057 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.057 * [taylor]: Taking taylor expansion of -1 in a 1.057 * [taylor]: Taking taylor expansion of a in a 1.057 * [taylor]: Taking taylor expansion of 1 in a 1.078 * * * [progress]: simplifying candidates 1.079 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (expm1 (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (exp (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt 1) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (* (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (* (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (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) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 1.084 * * [simplify]: iteration 0 : 156 enodes (cost 650 ) 1.087 * * [simplify]: iteration 1 : 538 enodes (cost 592 ) 1.101 * * [simplify]: iteration 2 : 3301 enodes (cost 586 ) 1.218 * * [simplify]: iteration 3 : 5002 enodes (cost 586 ) 1.220 * [simplify]: Simplified to: (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 3 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (expm1 (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (* (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)) (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)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (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)))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (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))) (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) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.221 * * * [progress]: adding candidates to table 1.427 * * [progress]: iteration 3 / 4 1.427 * * * [progress]: picking best candidate 1.493 * * * * [pick]: Picked # 1.493 * * * [progress]: localizing error 1.513 * * * [progress]: generating rewritten candidates 1.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.513 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.514 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.514 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.516 * * * [progress]: generating series expansions 1.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.516 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.516 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.516 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.517 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.517 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.517 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.518 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.518 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.518 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.519 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.519 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.519 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.519 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.519 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.520 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.520 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.520 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.520 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.521 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.521 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.521 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.521 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.522 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.522 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.522 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.522 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.522 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.523 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.523 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 1.523 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.523 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.523 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.523 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.534 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 1.534 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.534 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.534 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.534 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.545 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 1.545 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.545 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.545 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.545 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.556 * * * [progress]: simplifying candidates 1.557 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 1.561 * * [simplify]: iteration 0 : 92 enodes (cost 608 ) 1.563 * * [simplify]: iteration 1 : 341 enodes (cost 520 ) 1.574 * * [simplify]: iteration 2 : 2697 enodes (cost 516 ) 1.678 * * [simplify]: iteration 3 : 5002 enodes (cost 516 ) 1.681 * [simplify]: Simplified to: (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 3 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 1.681 * * * [progress]: adding candidates to table 1.932 * * [progress]: iteration 4 / 4 1.933 * * * [progress]: picking best candidate 2.018 * * * * [pick]: Picked # 2.018 * * * [progress]: localizing error 2.046 * * * [progress]: generating rewritten candidates 2.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.046 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) 2.047 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 1) 2.047 * * * [progress]: generating series expansions 2.047 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.048 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.048 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.048 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.049 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.049 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.049 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.049 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.050 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.050 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.050 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.050 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.051 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.051 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.051 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.052 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) 2.052 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.053 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.053 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.053 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.054 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.054 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.054 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.054 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 1) 2.055 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.055 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.055 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.056 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.056 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.056 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.057 * * * [progress]: simplifying candidates 2.057 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 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) (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) 2.060 * * [simplify]: iteration 0 : 28 enodes (cost 504 ) 2.062 * * [simplify]: iteration 1 : 47 enodes (cost 428 ) 2.063 * * [simplify]: iteration 2 : 69 enodes (cost 428 ) 2.065 * * [simplify]: iteration 3 : 127 enodes (cost 428 ) 2.069 * * [simplify]: iteration 4 : 543 enodes (cost 428 ) 2.083 * * [simplify]: iteration 5 : 1738 enodes (cost 428 ) 2.146 * * [simplify]: iteration 6 : 5001 enodes (cost 428 ) 2.148 * [simplify]: Simplified to: (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 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) (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) 2.148 * * * [progress]: adding candidates to table 2.393 * [progress]: [Phase 3 of 3] Extracting. 2.393 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.404 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.404 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.547 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # #) 2.591 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.717 * * * [regime]: Found split indices: #