0.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.391 * * * [progress]: [2/2] Setting up program. 0.395 * [progress]: [Phase 2 of 3] Improving. 0.395 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.397 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.397 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.397 * * [progress]: iteration 1 / 4 0.397 * * * [progress]: picking best candidate 0.401 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.418 * * * [progress]: generating rewritten candidates 0.418 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.422 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.423 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.423 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.423 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.424 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.424 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.424 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.425 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.425 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.425 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.425 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.425 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.425 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.425 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.426 * [taylor]: Rewrote expression to (- (exp a) 1) 0.426 * [taylor]: Taking taylor expansion of (exp a) in a 0.426 * [taylor]: Taking taylor expansion of a in a 0.426 * [taylor]: Taking taylor expansion of 1 in a 0.428 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.428 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.428 * [taylor]: Rewrote expression to (- (exp a) 1) 0.428 * [taylor]: Taking taylor expansion of (exp a) in a 0.428 * [taylor]: Taking taylor expansion of a in a 0.428 * [taylor]: Taking taylor expansion of 1 in a 0.439 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.439 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.439 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.439 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.439 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.439 * [taylor]: Taking taylor expansion of a in a 0.440 * [taylor]: Taking taylor expansion of 1 in a 0.440 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.440 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.440 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.440 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.440 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.440 * [taylor]: Taking taylor expansion of a in a 0.440 * [taylor]: Taking taylor expansion of 1 in a 0.463 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.463 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.463 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.463 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.463 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.463 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.463 * [taylor]: Taking taylor expansion of -1 in a 0.463 * [taylor]: Taking taylor expansion of a in a 0.463 * [taylor]: Taking taylor expansion of 1 in a 0.464 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.464 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.464 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.464 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.464 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.464 * [taylor]: Taking taylor expansion of -1 in a 0.464 * [taylor]: Taking taylor expansion of a in a 0.464 * [taylor]: Taking taylor expansion of 1 in a 0.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.486 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.486 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.486 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.486 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.486 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.486 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.486 * [taylor]: Rewrote expression to (- (exp a) 1) 0.486 * [taylor]: Taking taylor expansion of (exp a) in a 0.486 * [taylor]: Taking taylor expansion of a in a 0.486 * [taylor]: Taking taylor expansion of 1 in a 0.488 * [taylor]: Taking taylor expansion of 1 in a 0.488 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.488 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.488 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.488 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.488 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.488 * [taylor]: Rewrote expression to (- (exp a) 1) 0.489 * [taylor]: Taking taylor expansion of (exp a) in a 0.489 * [taylor]: Taking taylor expansion of a in a 0.489 * [taylor]: Taking taylor expansion of 1 in a 0.491 * [taylor]: Taking taylor expansion of 1 in a 0.505 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.505 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.505 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 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 1 in a 0.506 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.507 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.507 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.507 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.507 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.507 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.507 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.507 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.507 * [taylor]: Taking taylor expansion of a in a 0.507 * [taylor]: Taking taylor expansion of 1 in a 0.508 * [taylor]: Taking taylor expansion of 1 in a 0.541 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.541 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.541 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.541 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.541 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.541 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.541 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.541 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.541 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.541 * [taylor]: Taking taylor expansion of -1 in a 0.541 * [taylor]: Taking taylor expansion of a in a 0.541 * [taylor]: Taking taylor expansion of 1 in a 0.542 * [taylor]: Taking taylor expansion of 1 in a 0.542 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.542 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.542 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.542 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.542 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.542 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.542 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.542 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.542 * [taylor]: Taking taylor expansion of -1 in a 0.542 * [taylor]: Taking taylor expansion of a in a 0.543 * [taylor]: Taking taylor expansion of 1 in a 0.543 * [taylor]: Taking taylor expansion of 1 in a 0.576 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.576 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.576 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.576 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.577 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.577 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.577 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.577 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.577 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.577 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.578 * * * [progress]: simplifying candidates 0.578 * [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)) 0.582 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.584 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.588 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.604 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.700 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.704 * [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)) 0.705 * * * [progress]: adding candidates to table 0.871 * * [progress]: iteration 2 / 4 0.871 * * * [progress]: picking best candidate 0.911 * * * * [pick]: Picked # 0.911 * * * [progress]: localizing error 0.928 * * * [progress]: generating rewritten candidates 0.928 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.929 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.930 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.934 * * * [progress]: generating series expansions 0.934 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.934 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.934 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.934 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.935 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.935 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.935 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.936 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.936 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.937 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.937 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 0.937 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.937 * [taylor]: Taking taylor expansion of 1/3 in a 0.937 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.937 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.938 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 0.938 * [taylor]: Taking taylor expansion of 1/3 in a 0.938 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.938 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.973 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 0.973 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.973 * [taylor]: Taking taylor expansion of 1/3 in a 0.973 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.973 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.974 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 0.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 0.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 0.974 * [taylor]: Taking taylor expansion of 1/3 in a 0.974 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.974 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.012 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.012 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.012 * [taylor]: Taking taylor expansion of 1/3 in a 1.012 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.012 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.013 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.013 * [taylor]: Taking taylor expansion of 1/3 in a 1.013 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.013 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.049 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.049 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.049 * [taylor]: Taking taylor expansion of 1/3 in a 1.049 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.049 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.049 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.049 * [taylor]: Taking taylor expansion of 1/3 in a 1.049 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.049 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.087 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.087 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.087 * [taylor]: Taking taylor expansion of 1/3 in a 1.087 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.087 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.087 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.087 * [taylor]: Taking taylor expansion of 1/3 in a 1.087 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.087 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.123 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.123 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.123 * [taylor]: Taking taylor expansion of 1/3 in a 1.123 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.123 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.124 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.124 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.124 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.124 * [taylor]: Taking taylor expansion of 1/3 in a 1.124 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.124 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.160 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.160 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.160 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.160 * [taylor]: Taking taylor expansion of 1/3 in a 1.160 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.160 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.160 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.160 * [taylor]: Taking taylor expansion of 1/3 in a 1.160 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.160 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.199 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.199 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.199 * [taylor]: Taking taylor expansion of 1/3 in a 1.199 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.199 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.200 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.200 * [taylor]: Taking taylor expansion of 1/3 in a 1.200 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.200 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.236 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.236 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.236 * [taylor]: Taking taylor expansion of 1/3 in a 1.236 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.236 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.236 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.236 * [taylor]: Taking taylor expansion of 1/3 in a 1.236 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.236 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.277 * * * [progress]: simplifying candidates 1.278 * [simplify]: Simplifying using # : (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (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)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (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)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (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)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.281 * * [simplify]: iteration 0 : 42 enodes (cost 714 ) 1.282 * * [simplify]: iteration 1 : 72 enodes (cost 632 ) 1.284 * * [simplify]: iteration 2 : 149 enodes (cost 626 ) 1.288 * * [simplify]: iteration 3 : 483 enodes (cost 611 ) 1.300 * * [simplify]: iteration 4 : 2459 enodes (cost 611 ) 1.367 * * [simplify]: iteration 5 : 5002 enodes (cost 611 ) 1.370 * [simplify]: Simplified to: (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.370 * * * [progress]: adding candidates to table 1.588 * * [progress]: iteration 3 / 4 1.588 * * * [progress]: picking best candidate 1.647 * * * * [pick]: Picked # 1.647 * * * [progress]: localizing error 1.673 * * * [progress]: generating rewritten candidates 1.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.675 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 1.677 * * * [progress]: generating series expansions 1.677 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.678 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.678 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.678 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.678 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.678 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.679 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.680 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.680 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.680 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.680 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.681 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.681 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.681 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.681 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.681 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.682 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.682 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.682 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.683 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.683 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.683 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.683 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.684 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.684 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.684 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.684 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.685 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.685 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.685 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.686 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 1.686 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 1.686 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.686 * [taylor]: Taking taylor expansion of 1/3 in a 1.686 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.686 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.687 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 1.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.687 * [taylor]: Taking taylor expansion of 1/3 in a 1.687 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.687 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.726 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 1.726 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.726 * [taylor]: Taking taylor expansion of 1/3 in a 1.726 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.726 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.726 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 1.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.726 * [taylor]: Taking taylor expansion of 1/3 in a 1.726 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.726 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.762 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 1.762 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.762 * [taylor]: Taking taylor expansion of 1/3 in a 1.762 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.762 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.762 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 1.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.762 * [taylor]: Taking taylor expansion of 1/3 in a 1.762 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.762 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.799 * * * [progress]: simplifying candidates 1.800 * [simplify]: Simplifying using # : (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 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(expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (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)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (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)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.804 * * [simplify]: iteration 0 : 42 enodes (cost 990 ) 1.805 * * [simplify]: iteration 1 : 72 enodes (cost 848 ) 1.807 * * [simplify]: iteration 2 : 149 enodes (cost 846 ) 1.811 * * [simplify]: iteration 3 : 483 enodes (cost 801 ) 1.823 * * [simplify]: iteration 4 : 2459 enodes (cost 801 ) 1.890 * * [simplify]: iteration 5 : 5002 enodes (cost 801 ) 1.897 * [simplify]: Simplified to: (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (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)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 1.898 * * * [progress]: adding candidates to table 2.148 * * [progress]: iteration 4 / 4 2.148 * * * [progress]: picking best candidate 2.234 * * * * [pick]: Picked # 2.235 * * * [progress]: localizing error 2.262 * * * [progress]: generating rewritten candidates 2.262 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 2.266 * * * [progress]: generating series expansions 2.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.266 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.266 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.266 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.267 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.267 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.267 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.268 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.268 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.268 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.269 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.269 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.269 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.272 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.272 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.273 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.274 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.274 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.274 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.275 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.275 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.275 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.276 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.276 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.276 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.277 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.277 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.277 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.277 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 2.277 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in (a) around 0 2.277 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 2.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 2.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 2.277 * [taylor]: Taking taylor expansion of 1/3 in a 2.278 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 2.278 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.278 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) in a 2.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 2.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 2.278 * [taylor]: Taking taylor expansion of 1/3 in a 2.278 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 2.278 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.313 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in (a) around 0 2.313 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 2.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 2.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 2.313 * [taylor]: Taking taylor expansion of 1/3 in a 2.313 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 2.313 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.314 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1/3) in a 2.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 2.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 2.314 * [taylor]: Taking taylor expansion of 1/3 in a 2.314 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 2.314 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.350 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in (a) around 0 2.350 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 2.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 2.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 2.350 * [taylor]: Taking taylor expansion of 1/3 in a 2.350 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.350 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.350 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1/3) in a 2.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 2.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 2.351 * [taylor]: Taking taylor expansion of 1/3 in a 2.351 * [taylor]: Taking taylor expansion of (log (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.351 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.393 * * * [progress]: simplifying candidates 2.394 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (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)))) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (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)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 2.397 * * [simplify]: iteration 0 : 52 enodes (cost 810 ) 2.399 * * [simplify]: iteration 1 : 83 enodes (cost 698 ) 2.401 * * [simplify]: iteration 2 : 162 enodes (cost 396 ) 2.404 * * [simplify]: iteration 3 : 488 enodes (cost 396 ) 2.417 * * [simplify]: iteration 4 : 2464 enodes (cost 396 ) 2.483 * * [simplify]: iteration 5 : 5001 enodes (cost 396 ) 2.485 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt 1) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (* (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (cbrt (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) (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)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1/3) 2.485 * * * [progress]: adding candidates to table 2.766 * [progress]: [Phase 3 of 3] Extracting. 2.766 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.791 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.792 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.982 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # #) 3.031 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.201 * * * [regime]: Found split indices: #