0.013 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.342 * * * [progress]: [2/2] Setting up program. 0.345 * [progress]: [Phase 2 of 3] Improving. 0.345 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.347 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.347 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.348 * * [progress]: iteration 1 / 4 0.348 * * * [progress]: picking best candidate 0.351 * * * * [pick]: Picked # 0.351 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.371 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.372 * * * [progress]: generating series expansions 0.372 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.373 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.373 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.373 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.373 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.373 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.373 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.374 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.374 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.374 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.375 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.375 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.375 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.375 * [taylor]: Rewrote expression to (- (exp a) 1) 0.375 * [taylor]: Taking taylor expansion of (exp a) in a 0.375 * [taylor]: Taking taylor expansion of a in a 0.375 * [taylor]: Taking taylor expansion of 1 in a 0.377 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.377 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.377 * [taylor]: Rewrote expression to (- (exp a) 1) 0.377 * [taylor]: Taking taylor expansion of (exp a) in a 0.377 * [taylor]: Taking taylor expansion of a in a 0.377 * [taylor]: Taking taylor expansion of 1 in a 0.387 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.387 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.387 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.387 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.388 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.388 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.388 * [taylor]: Taking taylor expansion of a in a 0.388 * [taylor]: Taking taylor expansion of 1 in a 0.388 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.388 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.388 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.388 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.388 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.388 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of 1 in a 0.410 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.410 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.410 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.410 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.410 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.410 * [taylor]: Taking taylor expansion of -1 in a 0.410 * [taylor]: Taking taylor expansion of a in a 0.410 * [taylor]: Taking taylor expansion of 1 in a 0.411 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.411 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.411 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.411 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.411 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.411 * [taylor]: Taking taylor expansion of -1 in a 0.411 * [taylor]: Taking taylor expansion of a in a 0.411 * [taylor]: Taking taylor expansion of 1 in a 0.432 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.432 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.432 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.432 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.432 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.432 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.432 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.432 * [taylor]: Rewrote expression to (- (exp a) 1) 0.432 * [taylor]: Taking taylor expansion of (exp a) in a 0.432 * [taylor]: Taking taylor expansion of a in a 0.432 * [taylor]: Taking taylor expansion of 1 in a 0.434 * [taylor]: Taking taylor expansion of 1 in a 0.434 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.434 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.434 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.434 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.434 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.434 * [taylor]: Rewrote expression to (- (exp a) 1) 0.434 * [taylor]: Taking taylor expansion of (exp a) in a 0.434 * [taylor]: Taking taylor expansion of a in a 0.434 * [taylor]: Taking taylor expansion of 1 in a 0.436 * [taylor]: Taking taylor expansion of 1 in a 0.449 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.449 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.449 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.449 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.449 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.449 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.449 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.449 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.449 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.449 * [taylor]: Taking taylor expansion of a in a 0.449 * [taylor]: Taking taylor expansion of 1 in a 0.450 * [taylor]: Taking taylor expansion of 1 in a 0.450 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.450 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.450 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.450 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.450 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.450 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.450 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.450 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.450 * [taylor]: Taking taylor expansion of a in a 0.450 * [taylor]: Taking taylor expansion of 1 in a 0.451 * [taylor]: Taking taylor expansion of 1 in a 0.482 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.482 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.482 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.482 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.482 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.482 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.482 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.482 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.482 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.482 * [taylor]: Taking taylor expansion of -1 in a 0.482 * [taylor]: Taking taylor expansion of a in a 0.483 * [taylor]: Taking taylor expansion of 1 in a 0.483 * [taylor]: Taking taylor expansion of 1 in a 0.483 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.483 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.483 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.483 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.483 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.483 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.484 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.484 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.484 * [taylor]: Taking taylor expansion of -1 in a 0.484 * [taylor]: Taking taylor expansion of a in a 0.484 * [taylor]: Taking taylor expansion of 1 in a 0.484 * [taylor]: Taking taylor expansion of 1 in a 0.516 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.516 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.516 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.516 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.517 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.517 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.517 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.517 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.517 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.517 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.518 * * * [progress]: simplifying candidates 0.518 * [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)) 0.522 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.524 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.528 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.544 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.637 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.642 * [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)) 0.642 * * * [progress]: adding candidates to table 0.789 * * [progress]: iteration 2 / 4 0.789 * * * [progress]: picking best candidate 0.834 * * * * [pick]: Picked # 0.834 * * * [progress]: localizing error 0.853 * * * [progress]: generating rewritten candidates 0.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.855 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.862 * * * [progress]: generating series expansions 0.862 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.862 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.862 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.862 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.863 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.863 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.863 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.863 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.863 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.864 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.864 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.864 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.864 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.864 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.865 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.865 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.865 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.866 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.866 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.866 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.866 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.866 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.866 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.866 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.867 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.867 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.867 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.868 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.868 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.868 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.868 * [approximate]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) in (a) around 0 0.868 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) in a 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2)))) in a 0.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) in a 0.869 * [taylor]: Taking taylor expansion of 1/3 in a 0.869 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2)) in a 0.869 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) in a 0.869 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.870 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) in a 0.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2)))) in a 0.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) in a 0.870 * [taylor]: Taking taylor expansion of 1/3 in a 0.870 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2)) in a 0.870 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) in a 0.870 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.912 * [approximate]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2) 1/3) in (a) around 0 0.912 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2) 1/3) in a 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2)))) in a 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) in a 0.912 * [taylor]: Taking taylor expansion of 1/3 in a 0.912 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2)) in a 0.912 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2) in a 0.912 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.913 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2) 1/3) in a 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2)))) in a 0.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) in a 0.913 * [taylor]: Taking taylor expansion of 1/3 in a 0.913 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2)) in a 0.913 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2) in a 0.913 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.961 * [approximate]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2) 1/3) in (a) around 0 0.961 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2) 1/3) in a 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2)))) in a 0.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) in a 0.961 * [taylor]: Taking taylor expansion of 1/3 in a 0.962 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2)) in a 0.962 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2) in a 0.962 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.962 * [taylor]: Taking taylor expansion of (pow (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2) 1/3) in a 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2)))) in a 0.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) in a 0.963 * [taylor]: Taking taylor expansion of 1/3 in a 0.963 * [taylor]: Taking taylor expansion of (log (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2)) in a 0.963 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2) in a 0.963 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.006 * * * [progress]: simplifying candidates 1.007 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod 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a)) a)))) (log1p (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ 1/3 1/3) (+ 1 1) (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (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))) (+ 1 1) (+ (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (log (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (exp (* (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)) (* (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) (cbrt (* (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)) (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)))) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (sqrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (sqrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (* 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(expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* 2 1/3) (* 2 1) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (* (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)) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt 1)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 1) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (* (cbrt (sqrt (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))) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (* (sqrt (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)) (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) (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 (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) 1.012 * * [simplify]: iteration 0 : 94 enodes (cost 1009 ) 1.015 * * [simplify]: iteration 1 : 316 enodes (cost 926 ) 1.023 * * [simplify]: iteration 2 : 1541 enodes (cost 829 ) 1.060 * * [simplify]: iteration 3 : 5002 enodes (cost 812 ) 1.064 * [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)) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (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)) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (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)) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/2) (expm1 (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (log1p (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) 2/3 2 (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) 2 (* 2 (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* 2 (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (pow (exp 1) (pow (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) (* (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) (cbrt (* (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) 2) (fabs (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (fabs (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (* (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) 1 (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 4) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (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)) 1 (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (* (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (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)) 2/3 2 (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (* (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)) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 5) (pow (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 4) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 4) (pow (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) (pow (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2) 1/3) 1.065 * * * [progress]: adding candidates to table 1.304 * * [progress]: iteration 3 / 4 1.304 * * * [progress]: picking best candidate 1.372 * * * * [pick]: Picked # 1.372 * * * [progress]: localizing error 1.393 * * * [progress]: generating rewritten candidates 1.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1) 1.394 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.395 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.396 * * * [progress]: generating series expansions 1.396 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.396 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.397 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.398 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.398 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1 1) 1.398 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.399 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.400 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 1.401 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.401 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.401 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.401 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.401 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.401 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.402 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.402 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.402 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 1.403 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.403 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.403 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.403 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.403 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.403 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.404 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.404 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.404 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.405 * * * [progress]: simplifying candidates 1.405 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (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)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.408 * * [simplify]: iteration 0 : 17 enodes (cost 408 ) 1.409 * * [simplify]: iteration 1 : 19 enodes (cost 356 ) 1.411 * * [simplify]: iteration 2 : 23 enodes (cost 356 ) 1.412 * * [simplify]: iteration 3 : 28 enodes (cost 356 ) 1.414 * * [simplify]: iteration 4 : 47 enodes (cost 356 ) 1.416 * * [simplify]: iteration 5 : 101 enodes (cost 356 ) 1.420 * * [simplify]: iteration 6 : 507 enodes (cost 356 ) 1.434 * * [simplify]: iteration 7 : 1681 enodes (cost 356 ) 1.499 * * [simplify]: iteration 8 : 5001 enodes (cost 356 ) 1.500 * [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 (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)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.501 * * * [progress]: adding candidates to table 1.695 * * [progress]: iteration 4 / 4 1.695 * * * [progress]: picking best candidate 1.772 * * * * [pick]: Picked # 1.772 * * * [progress]: localizing error 1.799 * * * [progress]: generating rewritten candidates 1.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1) 1.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 2 1) 1.802 * * * [progress]: generating series expansions 1.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.802 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.802 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.802 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.803 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.803 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.803 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.804 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.804 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.804 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.804 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1 1) 1.804 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.804 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.804 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.805 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.805 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.805 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.806 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.806 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.806 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.806 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 1.806 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.806 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.807 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.807 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.807 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.807 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.808 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.808 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.808 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.808 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 2 1) 1.809 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.809 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.809 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.809 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.809 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.809 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.810 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.810 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.810 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.811 * * * [progress]: simplifying candidates 1.811 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (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)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.814 * * [simplify]: iteration 0 : 17 enodes (cost 408 ) 1.816 * * [simplify]: iteration 1 : 19 enodes (cost 356 ) 1.817 * * [simplify]: iteration 2 : 23 enodes (cost 356 ) 1.818 * * [simplify]: iteration 3 : 28 enodes (cost 356 ) 1.820 * * [simplify]: iteration 4 : 47 enodes (cost 356 ) 1.822 * * [simplify]: iteration 5 : 101 enodes (cost 356 ) 1.827 * * [simplify]: iteration 6 : 507 enodes (cost 356 ) 1.841 * * [simplify]: iteration 7 : 1681 enodes (cost 356 ) 1.903 * * [simplify]: iteration 8 : 5001 enodes (cost 356 ) 1.905 * [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 (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)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.906 * * * [progress]: adding candidates to table 2.128 * [progress]: [Phase 3 of 3] Extracting. 2.128 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # #) 2.139 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.139 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # #) 2.263 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # #) 2.368 * * * [regime]: Found split indices: #