0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.482 * * * [progress]: [2/2] Setting up program. 0.486 * [progress]: [Phase 2 of 3] Improving. 0.486 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.488 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.488 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.489 * * [progress]: iteration 1 / 4 0.489 * * * [progress]: picking best candidate 0.492 * * * * [pick]: Picked # 0.492 * * * [progress]: localizing error 0.505 * * * [progress]: generating rewritten candidates 0.505 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.508 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.509 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.510 * * * [progress]: generating series expansions 0.510 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.510 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.510 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.510 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.511 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.511 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.511 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.512 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.512 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.512 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.512 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.512 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.512 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.512 * [taylor]: Rewrote expression to (- (exp a) 1) 0.512 * [taylor]: Taking taylor expansion of (exp a) in a 0.512 * [taylor]: Taking taylor expansion of a in a 0.512 * [taylor]: Taking taylor expansion of 1 in a 0.514 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.514 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.514 * [taylor]: Rewrote expression to (- (exp a) 1) 0.514 * [taylor]: Taking taylor expansion of (exp a) in a 0.514 * [taylor]: Taking taylor expansion of a in a 0.514 * [taylor]: Taking taylor expansion of 1 in a 0.525 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.525 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.525 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.525 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.525 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.525 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.525 * [taylor]: Taking taylor expansion of a in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.526 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.526 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.526 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.526 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.526 * [taylor]: Taking taylor expansion of a in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.553 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.553 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.553 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.553 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.553 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.553 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.553 * [taylor]: Taking taylor expansion of -1 in a 0.553 * [taylor]: Taking taylor expansion of a in a 0.554 * [taylor]: Taking taylor expansion of 1 in a 0.554 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.554 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.554 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.554 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.554 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.554 * [taylor]: Taking taylor expansion of -1 in a 0.554 * [taylor]: Taking taylor expansion of a in a 0.555 * [taylor]: Taking taylor expansion of 1 in a 0.576 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.577 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.577 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.577 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.577 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.577 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.577 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.578 * [taylor]: Rewrote expression to (- (exp a) 1) 0.578 * [taylor]: Taking taylor expansion of (exp a) in a 0.578 * [taylor]: Taking taylor expansion of a in a 0.578 * [taylor]: Taking taylor expansion of 1 in a 0.580 * [taylor]: Taking taylor expansion of 1 in a 0.580 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.580 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.580 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.580 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.580 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.580 * [taylor]: Rewrote expression to (- (exp a) 1) 0.580 * [taylor]: Taking taylor expansion of (exp a) in a 0.580 * [taylor]: Taking taylor expansion of a in a 0.580 * [taylor]: Taking taylor expansion of 1 in a 0.582 * [taylor]: Taking taylor expansion of 1 in a 0.592 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.592 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.592 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.592 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.592 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.592 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.592 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.592 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.592 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.592 * [taylor]: Taking taylor expansion of a in a 0.592 * [taylor]: Taking taylor expansion of 1 in a 0.593 * [taylor]: Taking taylor expansion of 1 in a 0.593 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.593 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.593 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.593 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.593 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.593 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.593 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.593 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.593 * [taylor]: Taking taylor expansion of a in a 0.593 * [taylor]: Taking taylor expansion of 1 in a 0.594 * [taylor]: Taking taylor expansion of 1 in a 0.630 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.630 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.630 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.630 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.630 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.630 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.630 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.630 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.630 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.630 * [taylor]: Taking taylor expansion of -1 in a 0.630 * [taylor]: Taking taylor expansion of a in a 0.630 * [taylor]: Taking taylor expansion of 1 in a 0.631 * [taylor]: Taking taylor expansion of 1 in a 0.631 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.631 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.631 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.631 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.631 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.631 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.631 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.631 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.631 * [taylor]: Taking taylor expansion of -1 in a 0.631 * [taylor]: Taking taylor expansion of a in a 0.632 * [taylor]: Taking taylor expansion of 1 in a 0.632 * [taylor]: Taking taylor expansion of 1 in a 0.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.665 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.665 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.665 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.666 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.666 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.666 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.666 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.666 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.666 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.667 * * * [progress]: simplifying candidates 0.667 * [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)) 0.671 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.673 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.677 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.692 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.785 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.787 * [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)) 0.787 * * * [progress]: adding candidates to table 0.954 * * [progress]: iteration 2 / 4 0.954 * * * [progress]: picking best candidate 1.000 * * * * [pick]: Picked # 1.000 * * * [progress]: localizing error 1.021 * * * [progress]: generating rewritten candidates 1.021 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1) 1.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1 1) 1.025 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.028 * * * [progress]: generating series expansions 1.028 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.028 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.028 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.028 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.029 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.029 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.029 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.030 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.030 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.030 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1) 1.030 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.030 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.030 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.031 * [taylor]: Rewrote expression to (- (exp a) 1) 1.031 * [taylor]: Taking taylor expansion of (exp a) in a 1.031 * [taylor]: Taking taylor expansion of a in a 1.031 * [taylor]: Taking taylor expansion of 1 in a 1.032 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.032 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.032 * [taylor]: Rewrote expression to (- (exp a) 1) 1.033 * [taylor]: Taking taylor expansion of (exp a) in a 1.033 * [taylor]: Taking taylor expansion of a in a 1.033 * [taylor]: Taking taylor expansion of 1 in a 1.043 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.043 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.043 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.043 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.043 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.043 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.043 * [taylor]: Taking taylor expansion of a in a 1.043 * [taylor]: Taking taylor expansion of 1 in a 1.044 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.044 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.044 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.044 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.044 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.044 * [taylor]: Taking taylor expansion of a in a 1.044 * [taylor]: Taking taylor expansion of 1 in a 1.066 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.066 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.066 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.066 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.066 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.066 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.066 * [taylor]: Taking taylor expansion of -1 in a 1.066 * [taylor]: Taking taylor expansion of a in a 1.067 * [taylor]: Taking taylor expansion of 1 in a 1.067 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.067 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.067 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.067 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.067 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.067 * [taylor]: Taking taylor expansion of -1 in a 1.067 * [taylor]: Taking taylor expansion of a in a 1.067 * [taylor]: Taking taylor expansion of 1 in a 1.089 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1 1) 1.089 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.089 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.089 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.089 * [taylor]: Rewrote expression to (- (exp a) 1) 1.089 * [taylor]: Taking taylor expansion of (exp a) in a 1.089 * [taylor]: Taking taylor expansion of a in a 1.089 * [taylor]: Taking taylor expansion of 1 in a 1.091 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.091 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.091 * [taylor]: Rewrote expression to (- (exp a) 1) 1.091 * [taylor]: Taking taylor expansion of (exp a) in a 1.091 * [taylor]: Taking taylor expansion of a in a 1.091 * [taylor]: Taking taylor expansion of 1 in a 1.101 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.101 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.101 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.101 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.101 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.101 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.101 * [taylor]: Taking taylor expansion of a in a 1.102 * [taylor]: Taking taylor expansion of 1 in a 1.104 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.104 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.104 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.104 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.104 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.104 * [taylor]: Taking taylor expansion of a in a 1.105 * [taylor]: Taking taylor expansion of 1 in a 1.126 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.126 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.127 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.127 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.127 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.127 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.127 * [taylor]: Taking taylor expansion of -1 in a 1.127 * [taylor]: Taking taylor expansion of a in a 1.127 * [taylor]: Taking taylor expansion of 1 in a 1.127 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.127 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.128 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.128 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.128 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.128 * [taylor]: Taking taylor expansion of -1 in a 1.128 * [taylor]: Taking taylor expansion of a in a 1.128 * [taylor]: Taking taylor expansion of 1 in a 1.150 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 1.150 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.150 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.150 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.150 * [taylor]: Rewrote expression to (- (exp a) 1) 1.150 * [taylor]: Taking taylor expansion of (exp a) in a 1.150 * [taylor]: Taking taylor expansion of a in a 1.150 * [taylor]: Taking taylor expansion of 1 in a 1.151 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.151 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.151 * [taylor]: Rewrote expression to (- (exp a) 1) 1.151 * [taylor]: Taking taylor expansion of (exp a) in a 1.151 * [taylor]: Taking taylor expansion of a in a 1.152 * [taylor]: Taking taylor expansion of 1 in a 1.162 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.162 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.162 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.162 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.162 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.162 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.162 * [taylor]: Taking taylor expansion of a in a 1.162 * [taylor]: Taking taylor expansion of 1 in a 1.163 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.163 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.163 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.163 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.163 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.163 * [taylor]: Taking taylor expansion of a in a 1.163 * [taylor]: Taking taylor expansion of 1 in a 1.187 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.187 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.187 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.187 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.187 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.187 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.187 * [taylor]: Taking taylor expansion of -1 in a 1.187 * [taylor]: Taking taylor expansion of a in a 1.188 * [taylor]: Taking taylor expansion of 1 in a 1.188 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.188 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.188 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.188 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.188 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.188 * [taylor]: Taking taylor expansion of -1 in a 1.188 * [taylor]: Taking taylor expansion of a in a 1.189 * [taylor]: Taking taylor expansion of 1 in a 1.210 * * * [progress]: simplifying candidates 1.211 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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))) (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))) (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) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 1.214 * * [simplify]: iteration 0 : 73 enodes (cost 396 ) 1.216 * * [simplify]: iteration 1 : 145 enodes (cost 343 ) 1.219 * * [simplify]: iteration 2 : 369 enodes (cost 343 ) 1.226 * * [simplify]: iteration 3 : 1410 enodes (cost 332 ) 1.273 * * [simplify]: iteration 4 : 5001 enodes (cost 332 ) 1.275 * [simplify]: Simplified to: (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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))) (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))) (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) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.275 * * * [progress]: adding candidates to table 1.508 * * [progress]: iteration 3 / 4 1.508 * * * [progress]: picking best candidate 1.588 * * * * [pick]: Picked # 1.588 * * * [progress]: localizing error 1.616 * * * [progress]: generating rewritten candidates 1.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.617 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 2 1 1) 1.620 * * * [progress]: generating series expansions 1.620 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.621 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.621 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.621 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.621 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.621 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.622 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.622 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.622 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.623 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.623 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.623 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.623 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.623 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.624 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.624 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.624 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.625 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.625 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.625 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.626 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.626 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.626 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.626 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.627 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.627 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.627 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.628 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.628 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.628 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.629 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 2 1 1) 1.629 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.629 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.629 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.629 * [taylor]: Rewrote expression to (- (exp a) 1) 1.629 * [taylor]: Taking taylor expansion of (exp a) in a 1.629 * [taylor]: Taking taylor expansion of a in a 1.629 * [taylor]: Taking taylor expansion of 1 in a 1.631 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.631 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.631 * [taylor]: Rewrote expression to (- (exp a) 1) 1.631 * [taylor]: Taking taylor expansion of (exp a) in a 1.631 * [taylor]: Taking taylor expansion of a in a 1.631 * [taylor]: Taking taylor expansion of 1 in a 1.641 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.641 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.641 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.642 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.642 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.642 * [taylor]: Taking taylor expansion of a in a 1.642 * [taylor]: Taking taylor expansion of 1 in a 1.642 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.642 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.642 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.642 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.642 * [taylor]: Taking taylor expansion of a in a 1.643 * [taylor]: Taking taylor expansion of 1 in a 1.665 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.665 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.665 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.665 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.665 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.665 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.665 * [taylor]: Taking taylor expansion of -1 in a 1.665 * [taylor]: Taking taylor expansion of a in a 1.665 * [taylor]: Taking taylor expansion of 1 in a 1.666 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.666 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.666 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.666 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.666 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.666 * [taylor]: Taking taylor expansion of -1 in a 1.666 * [taylor]: Taking taylor expansion of a in a 1.666 * [taylor]: Taking taylor expansion of 1 in a 1.688 * * * [progress]: simplifying candidates 1.689 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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)) 1.693 * * [simplify]: iteration 0 : 73 enodes (cost 756 ) 1.695 * * [simplify]: iteration 1 : 145 enodes (cost 645 ) 1.697 * * [simplify]: iteration 2 : 369 enodes (cost 645 ) 1.705 * * [simplify]: iteration 3 : 1410 enodes (cost 612 ) 1.752 * * [simplify]: iteration 4 : 5001 enodes (cost 612 ) 1.758 * [simplify]: Simplified to: (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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)) 1.758 * * * [progress]: adding candidates to table 2.017 * * [progress]: iteration 4 / 4 2.017 * * * [progress]: picking best candidate 2.137 * * * * [pick]: Picked # 2.137 * * * [progress]: localizing error 2.169 * * * [progress]: generating rewritten candidates 2.169 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.170 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) 2.174 * * * [progress]: generating series expansions 2.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.174 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.174 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.174 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.175 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.175 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.175 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.176 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.176 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.176 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.177 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.177 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.177 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.178 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.178 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.178 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.179 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.179 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.179 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.179 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.179 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.180 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.180 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.180 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.180 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.181 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.181 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.181 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) 2.182 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 2.182 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.182 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.182 * [taylor]: Rewrote expression to (- (exp a) 1) 2.182 * [taylor]: Taking taylor expansion of (exp a) in a 2.182 * [taylor]: Taking taylor expansion of a in a 2.182 * [taylor]: Taking taylor expansion of 1 in a 2.184 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.184 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.184 * [taylor]: Rewrote expression to (- (exp a) 1) 2.184 * [taylor]: Taking taylor expansion of (exp a) in a 2.184 * [taylor]: Taking taylor expansion of a in a 2.184 * [taylor]: Taking taylor expansion of 1 in a 2.195 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 2.195 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.195 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.195 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.195 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.195 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.195 * [taylor]: Taking taylor expansion of a in a 2.195 * [taylor]: Taking taylor expansion of 1 in a 2.196 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.196 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.196 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.196 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.196 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.196 * [taylor]: Taking taylor expansion of a in a 2.196 * [taylor]: Taking taylor expansion of 1 in a 2.218 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 2.218 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.218 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.218 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.218 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.218 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.218 * [taylor]: Taking taylor expansion of -1 in a 2.218 * [taylor]: Taking taylor expansion of a in a 2.218 * [taylor]: Taking taylor expansion of 1 in a 2.223 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.223 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.223 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.223 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.223 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.224 * [taylor]: Taking taylor expansion of -1 in a 2.224 * [taylor]: Taking taylor expansion of a in a 2.224 * [taylor]: Taking taylor expansion of 1 in a 2.246 * * * [progress]: simplifying candidates 2.247 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (expm1 (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (* (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a))))) (atan a)) a)) (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)) 2.250 * * [simplify]: iteration 0 : 83 enodes (cost 624 ) 2.252 * * [simplify]: iteration 1 : 156 enodes (cost 535 ) 2.255 * * [simplify]: iteration 2 : 382 enodes (cost 315 ) 2.263 * * [simplify]: iteration 3 : 1418 enodes (cost 315 ) 2.310 * * [simplify]: iteration 4 : 5001 enodes (cost 315 ) 2.312 * [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)) 2.312 * * * [progress]: adding candidates to table 2.597 * [progress]: [Phase 3 of 3] Extracting. 2.597 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.617 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.617 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.815 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # #) 2.864 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.040 * * * [regime]: Found split indices: #