0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.334 * * * [progress]: [2/2] Setting up program. 0.337 * [progress]: [Phase 2 of 3] Improving. 0.337 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.340 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.340 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.340 * * [progress]: iteration 1 / 4 0.340 * * * [progress]: picking best candidate 0.343 * * * * [pick]: Picked # 0.343 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.357 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.358 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.358 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.359 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.359 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.360 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.360 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.360 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.361 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.361 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.361 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.361 * [taylor]: Rewrote expression to (- (exp a) 1) 0.361 * [taylor]: Taking taylor expansion of (exp a) in a 0.361 * [taylor]: Taking taylor expansion of a in a 0.361 * [taylor]: Taking taylor expansion of 1 in a 0.363 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.363 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.363 * [taylor]: Rewrote expression to (- (exp a) 1) 0.363 * [taylor]: Taking taylor expansion of (exp a) in a 0.363 * [taylor]: Taking taylor expansion of a in a 0.363 * [taylor]: Taking taylor expansion of 1 in a 0.373 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.373 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.373 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.373 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.373 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.373 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.373 * [taylor]: Taking taylor expansion of a in a 0.374 * [taylor]: Taking taylor expansion of 1 in a 0.374 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.374 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.374 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.374 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.374 * [taylor]: Taking taylor expansion of a in a 0.375 * [taylor]: Taking taylor expansion of 1 in a 0.396 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.396 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.396 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.396 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.396 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.396 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.396 * [taylor]: Taking taylor expansion of -1 in a 0.396 * [taylor]: Taking taylor expansion of a in a 0.397 * [taylor]: Taking taylor expansion of 1 in a 0.397 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.397 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.397 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.397 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.397 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.397 * [taylor]: Taking taylor expansion of -1 in a 0.397 * [taylor]: Taking taylor expansion of a in a 0.398 * [taylor]: Taking taylor expansion of 1 in a 0.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.424 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.424 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.424 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.424 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.424 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.424 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.425 * [taylor]: Rewrote expression to (- (exp a) 1) 0.425 * [taylor]: Taking taylor expansion of (exp a) in a 0.425 * [taylor]: Taking taylor expansion of a in a 0.425 * [taylor]: Taking taylor expansion of 1 in a 0.426 * [taylor]: Taking taylor expansion of 1 in a 0.426 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.427 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.427 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.427 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.427 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.427 * [taylor]: Rewrote expression to (- (exp a) 1) 0.427 * [taylor]: Taking taylor expansion of (exp a) in a 0.427 * [taylor]: Taking taylor expansion of a in a 0.427 * [taylor]: Taking taylor expansion of 1 in a 0.429 * [taylor]: Taking taylor expansion of 1 in a 0.438 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.438 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.438 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.438 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.438 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.438 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.438 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.438 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.438 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.438 * [taylor]: Taking taylor expansion of a in a 0.439 * [taylor]: Taking taylor expansion of 1 in a 0.439 * [taylor]: Taking taylor expansion of 1 in a 0.439 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.439 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.439 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 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 1 in a 0.472 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.472 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.472 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.472 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.472 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.472 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.472 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.472 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.472 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.472 * [taylor]: Taking taylor expansion of -1 in a 0.472 * [taylor]: Taking taylor expansion of a in a 0.472 * [taylor]: Taking taylor expansion of 1 in a 0.473 * [taylor]: Taking taylor expansion of 1 in a 0.473 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.473 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.473 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.473 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.473 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.473 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.473 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.473 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.473 * [taylor]: Taking taylor expansion of -1 in a 0.473 * [taylor]: Taking taylor expansion of a in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.509 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.509 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.509 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.509 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.509 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.510 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.510 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.511 * * * [progress]: simplifying candidates 0.511 * [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)) 0.515 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.517 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.521 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.537 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.630 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.632 * [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)) 0.632 * * * [progress]: adding candidates to table 0.794 * * [progress]: iteration 2 / 4 0.794 * * * [progress]: picking best candidate 0.839 * * * * [pick]: Picked # 0.839 * * * [progress]: localizing error 0.856 * * * [progress]: generating rewritten candidates 0.856 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.858 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.859 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 0.860 * * * [progress]: generating series expansions 0.860 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.861 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.861 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.861 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.861 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.861 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.861 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.862 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.862 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.862 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.863 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 0.863 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.863 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.863 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.863 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.873 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 0.873 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.873 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.873 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.873 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.883 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 0.883 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.883 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.883 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.883 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.896 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.896 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.896 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.896 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.896 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.896 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.897 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.897 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.897 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.897 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 0.898 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.898 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.898 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.898 * [taylor]: Rewrote expression to (- (exp a) 1) 0.898 * [taylor]: Taking taylor expansion of (exp a) in a 0.898 * [taylor]: Taking taylor expansion of a in a 0.898 * [taylor]: Taking taylor expansion of 1 in a 0.899 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.899 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.899 * [taylor]: Rewrote expression to (- (exp a) 1) 0.899 * [taylor]: Taking taylor expansion of (exp a) in a 0.900 * [taylor]: Taking taylor expansion of a in a 0.900 * [taylor]: Taking taylor expansion of 1 in a 0.910 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.910 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.910 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.910 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.910 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.910 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.910 * [taylor]: Taking taylor expansion of a in a 0.910 * [taylor]: Taking taylor expansion of 1 in a 0.911 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.911 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.911 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.911 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.911 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.911 * [taylor]: Taking taylor expansion of a in a 0.911 * [taylor]: Taking taylor expansion of 1 in a 0.932 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.932 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.932 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.932 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.932 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.932 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.932 * [taylor]: Taking taylor expansion of -1 in a 0.932 * [taylor]: Taking taylor expansion of a in a 0.933 * [taylor]: Taking taylor expansion of 1 in a 0.933 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.933 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.933 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.933 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.933 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.933 * [taylor]: Taking taylor expansion of -1 in a 0.933 * [taylor]: Taking taylor expansion of a in a 0.934 * [taylor]: Taking taylor expansion of 1 in a 0.955 * * * [progress]: simplifying candidates 0.956 * [simplify]: Simplifying using # : (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log1p (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp 1)) (log (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* (* (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (sqrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (sqrt (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (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)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 0.959 * * [simplify]: iteration 0 : 108 enodes (cost 467 ) 0.961 * * [simplify]: iteration 1 : 208 enodes (cost 407 ) 0.964 * * [simplify]: iteration 2 : 487 enodes (cost 407 ) 0.974 * * [simplify]: iteration 3 : 1838 enodes (cost 407 ) 1.032 * * [simplify]: iteration 4 : 5001 enodes (cost 407 ) 1.034 * [simplify]: Simplified to: (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) E (atan2 (expm1 (sin (expm1 a))) (atan a)) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log1p (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (* 2 (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 0 (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (log (log (exp (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))) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (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)) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.034 * * * [progress]: adding candidates to table 1.230 * * [progress]: iteration 3 / 4 1.231 * * * [progress]: picking best candidate 1.290 * * * * [pick]: Picked # 1.291 * * * [progress]: localizing error 1.311 * * * [progress]: generating rewritten candidates 1.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 1.312 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.318 * * * [progress]: generating series expansions 1.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.318 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in (a) around 0 1.318 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.319 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) in a 1.320 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in (a) around 0 1.320 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.320 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))))) (/ 1 a)) in a 1.321 * [approximate]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in (a) around 0 1.321 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.321 * [taylor]: Taking taylor expansion of (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))))) (/ -1 a)) in a 1.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 1.322 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.322 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.322 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.322 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.322 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.331 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.331 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.331 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.331 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.331 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.341 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.341 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.341 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.341 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.341 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.350 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1.350 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.350 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.350 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.351 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.351 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.359 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.360 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.360 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.360 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.360 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.369 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.369 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.369 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.369 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.369 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.378 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.379 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in (a) around 0 1.379 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.379 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.379 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.379 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.380 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) in a 1.380 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) in a 1.380 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.380 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.417 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in (a) around 0 1.418 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.418 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.418 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.418 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.419 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))))) in a 1.419 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))))) in a 1.419 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.419 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.452 * [approximate]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in (a) around 0 1.452 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.452 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.452 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.452 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.453 * [taylor]: Taking taylor expansion of (log (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))))) in a 1.453 * [taylor]: Taking taylor expansion of (sqrt (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))))) in a 1.453 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.453 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.488 * * * [progress]: simplifying candidates 1.489 * [simplify]: Simplifying using # : (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (* (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (expm1 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log1p (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (* (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (sqrt (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt 1)) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log 1) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp 1)) (log (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (exp (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* (* (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 1.493 * * [simplify]: iteration 0 : 76 enodes (cost 773 ) 1.494 * * [simplify]: iteration 1 : 100 enodes (cost 678 ) 1.496 * * [simplify]: iteration 2 : 127 enodes (cost 678 ) 1.498 * * [simplify]: iteration 3 : 187 enodes (cost 678 ) 1.500 * * [simplify]: iteration 4 : 358 enodes (cost 678 ) 1.505 * * [simplify]: iteration 5 : 884 enodes (cost 678 ) 1.524 * * [simplify]: iteration 6 : 3890 enodes (cost 678 ) 1.584 * * [simplify]: iteration 7 : 5001 enodes (cost 666 ) 1.587 * [simplify]: Simplified to: (expm1 (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (pow (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) 3) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (+ (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) E (atan2 (expm1 (sin (expm1 a))) (atan a)) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) E (atan2 (expm1 (sin (expm1 a))) (atan a)) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (expm1 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log1p (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* 2 (log (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (cbrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (sqrt (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt 1)) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) 0 (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (log (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (* (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (cbrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (pow (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) 3) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (* 2 (log (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (/ (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) 1.588 * * * [progress]: adding candidates to table 1.879 * * [progress]: iteration 4 / 4 1.879 * * * [progress]: picking best candidate 1.956 * * * * [pick]: Picked # 1.956 * * * [progress]: localizing error 1.979 * * * [progress]: generating rewritten candidates 1.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.980 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.981 * * * [progress]: generating series expansions 1.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.981 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.981 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.982 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.982 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.982 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.982 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.983 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.983 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.983 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.984 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.984 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.984 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.985 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.985 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.985 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.985 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.985 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.986 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.986 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.986 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.986 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.986 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.987 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.987 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.987 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.988 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.988 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.988 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.989 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.989 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.989 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.989 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.989 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.998 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.998 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.998 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.998 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.998 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.011 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 2.011 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.011 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.011 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 2.011 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.020 * * * [progress]: simplifying candidates 2.021 * [simplify]: Simplifying using # : (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (* (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp 1) (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (* (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (sqrt (exp (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) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 2.024 * * [simplify]: iteration 0 : 43 enodes (cost 498 ) 2.025 * * [simplify]: iteration 1 : 64 enodes (cost 429 ) 2.027 * * [simplify]: iteration 2 : 83 enodes (cost 429 ) 2.029 * * [simplify]: iteration 3 : 124 enodes (cost 429 ) 2.031 * * [simplify]: iteration 4 : 224 enodes (cost 429 ) 2.034 * * [simplify]: iteration 5 : 546 enodes (cost 429 ) 2.048 * * [simplify]: iteration 6 : 2617 enodes (cost 429 ) 2.094 * * [simplify]: iteration 7 : 5001 enodes (cost 429 ) 2.095 * [simplify]: Simplified to: (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log1p (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (log (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (exp (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (* (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a))) (cbrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (sqrt (fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)) (expm1 (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (log1p (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (exp (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))))) (exp (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) E (atan2 (expm1 (sin (expm1 a))) (atan a)) (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (pow (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 1/2) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) 2.096 * * * [progress]: adding candidates to table 2.340 * [progress]: [Phase 3 of 3] Extracting. 2.340 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # #) 2.354 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.354 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 2.502 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# #) 2.538 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # #) 2.672 * * * [regime]: Found split indices: #