0.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.380 * * * [progress]: [2/2] Setting up program. 0.383 * [progress]: [Phase 2 of 3] Improving. 0.383 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.385 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.385 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.386 * * [progress]: iteration 1 / 4 0.386 * * * [progress]: picking best candidate 0.388 * * * * [pick]: Picked # 0.388 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.401 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.402 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.403 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.404 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.404 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.404 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.404 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.404 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.405 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.405 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.405 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.405 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.406 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.406 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.406 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.406 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.406 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.406 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.406 * [taylor]: Rewrote expression to (- (exp a) 1) 0.406 * [taylor]: Taking taylor expansion of (exp a) in a 0.406 * [taylor]: Taking taylor expansion of a in a 0.406 * [taylor]: Taking taylor expansion of 1 in a 0.410 * [taylor]: Taking taylor expansion of 1 in a 0.410 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.410 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.410 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.410 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.410 * [taylor]: Rewrote expression to (- (exp a) 1) 0.410 * [taylor]: Taking taylor expansion of (exp a) in a 0.410 * [taylor]: Taking taylor expansion of a in a 0.410 * [taylor]: Taking taylor expansion of 1 in a 0.412 * [taylor]: Taking taylor expansion of 1 in a 0.428 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.428 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.428 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.428 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.428 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.428 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.428 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.428 * [taylor]: Taking taylor expansion of a in a 0.428 * [taylor]: Taking taylor expansion of 1 in a 0.429 * [taylor]: Taking taylor expansion of 1 in a 0.429 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.429 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.429 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.429 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.429 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.430 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.430 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.430 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.430 * [taylor]: Taking taylor expansion of a in a 0.430 * [taylor]: Taking taylor expansion of 1 in a 0.430 * [taylor]: Taking taylor expansion of 1 in a 0.464 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.464 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.464 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.464 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.464 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.464 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.464 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.464 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.464 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.464 * [taylor]: Taking taylor expansion of -1 in a 0.464 * [taylor]: Taking taylor expansion of a in a 0.465 * [taylor]: Taking taylor expansion of 1 in a 0.466 * [taylor]: Taking taylor expansion of 1 in a 0.466 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.466 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.466 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.466 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.466 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.466 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.466 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.466 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.466 * [taylor]: Taking taylor expansion of -1 in a 0.466 * [taylor]: Taking taylor expansion of a in a 0.466 * [taylor]: Taking taylor expansion of 1 in a 0.467 * [taylor]: Taking taylor expansion of 1 in a 0.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.499 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.499 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.499 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.499 * [taylor]: Rewrote expression to (- (exp a) 1) 0.499 * [taylor]: Taking taylor expansion of (exp a) in a 0.499 * [taylor]: Taking taylor expansion of a in a 0.499 * [taylor]: Taking taylor expansion of 1 in a 0.501 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.501 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.501 * [taylor]: Rewrote expression to (- (exp a) 1) 0.501 * [taylor]: Taking taylor expansion of (exp a) in a 0.501 * [taylor]: Taking taylor expansion of a in a 0.501 * [taylor]: Taking taylor expansion of 1 in a 0.514 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.514 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.514 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.514 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.514 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.514 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.514 * [taylor]: Taking taylor expansion of a in a 0.514 * [taylor]: Taking taylor expansion of 1 in a 0.515 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.515 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.515 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.515 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.515 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.515 * [taylor]: Taking taylor expansion of a in a 0.515 * [taylor]: Taking taylor expansion of 1 in a 0.537 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.537 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.537 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.537 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.537 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.537 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.537 * [taylor]: Taking taylor expansion of -1 in a 0.537 * [taylor]: Taking taylor expansion of a in a 0.537 * [taylor]: Taking taylor expansion of 1 in a 0.538 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.538 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.538 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.538 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.538 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.538 * [taylor]: Taking taylor expansion of -1 in a 0.538 * [taylor]: Taking taylor expansion of a in a 0.538 * [taylor]: Taking taylor expansion of 1 in a 0.560 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.560 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.560 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.561 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.561 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.561 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.561 * * * [progress]: simplifying candidates 0.562 * [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)) (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 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (expm1 (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) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.565 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.568 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.572 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.587 * * [simplify]: iteration 3 : 2934 enodes (cost 264 ) 0.681 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.683 * [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)) (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 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (expm1 (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 3) 2/3 (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.684 * * * [progress]: adding candidates to table 0.848 * * [progress]: iteration 2 / 4 0.848 * * * [progress]: picking best candidate 0.891 * * * * [pick]: Picked # 0.891 * * * [progress]: localizing error 0.907 * * * [progress]: generating rewritten candidates 0.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.912 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.913 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.913 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.914 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.914 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.914 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.914 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.915 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.915 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.915 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.916 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 0.916 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.916 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.916 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 0.916 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.926 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 0.926 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.926 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.926 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 0.926 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.935 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 0.936 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.936 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.936 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 0.936 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.946 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.946 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.946 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.946 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.946 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.946 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.947 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.947 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.947 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 0.947 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.948 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.948 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.948 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.948 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.948 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.948 * [taylor]: Rewrote expression to (- (exp a) 1) 0.948 * [taylor]: Taking taylor expansion of (exp a) in a 0.948 * [taylor]: Taking taylor expansion of a in a 0.948 * [taylor]: Taking taylor expansion of 1 in a 0.950 * [taylor]: Taking taylor expansion of 1 in a 0.950 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.950 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.950 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.950 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.950 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.950 * [taylor]: Rewrote expression to (- (exp a) 1) 0.950 * [taylor]: Taking taylor expansion of (exp a) in a 0.950 * [taylor]: Taking taylor expansion of a in a 0.950 * [taylor]: Taking taylor expansion of 1 in a 0.952 * [taylor]: Taking taylor expansion of 1 in a 0.962 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.962 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.962 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.962 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.962 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.962 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.962 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.962 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.962 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.962 * [taylor]: Taking taylor expansion of a in a 0.962 * [taylor]: Taking taylor expansion of 1 in a 0.963 * [taylor]: Taking taylor expansion of 1 in a 0.963 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.963 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.963 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.963 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.963 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.963 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.963 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.963 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.963 * [taylor]: Taking taylor expansion of a in a 0.964 * [taylor]: Taking taylor expansion of 1 in a 0.964 * [taylor]: Taking taylor expansion of 1 in a 1.000 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 1.000 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.000 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 1.000 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.000 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.000 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.000 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.000 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.001 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.001 * [taylor]: Taking taylor expansion of -1 in a 1.001 * [taylor]: Taking taylor expansion of a in a 1.001 * [taylor]: Taking taylor expansion of 1 in a 1.002 * [taylor]: Taking taylor expansion of 1 in a 1.002 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.002 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 1.002 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.002 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.002 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.002 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.002 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.002 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.002 * [taylor]: Taking taylor expansion of -1 in a 1.002 * [taylor]: Taking taylor expansion of a in a 1.002 * [taylor]: Taking taylor expansion of 1 in a 1.003 * [taylor]: Taking taylor expansion of 1 in a 1.035 * * * [progress]: simplifying candidates 1.036 * [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))))) (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)))) (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)) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) 1.040 * * [simplify]: iteration 0 : 104 enodes (cost 472 ) 1.042 * * [simplify]: iteration 1 : 205 enodes (cost 410 ) 1.045 * * [simplify]: iteration 2 : 516 enodes (cost 410 ) 1.053 * * [simplify]: iteration 3 : 1518 enodes (cost 410 ) 1.091 * * [simplify]: iteration 4 : 5002 enodes (cost 410 ) 1.093 * [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))) (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)))) (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 3) 2/3 (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) 1.094 * * * [progress]: adding candidates to table 1.287 * * [progress]: iteration 3 / 4 1.287 * * * [progress]: picking best candidate 1.360 * * * * [pick]: Picked # 1.360 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.384 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.385 * * * [progress]: generating series expansions 1.385 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.386 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.386 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.386 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.386 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.386 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.387 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.387 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.387 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.387 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.388 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.388 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.388 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.389 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.389 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.389 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.389 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.390 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.390 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.391 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.391 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.391 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.392 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.392 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.392 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.393 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.393 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.393 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.393 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.393 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.402 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.402 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.402 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.403 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.403 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.415 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.415 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.415 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.416 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.416 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.425 * * * [progress]: simplifying candidates 1.426 * [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))) 1.429 * * [simplify]: iteration 0 : 43 enodes (cost 498 ) 1.431 * * [simplify]: iteration 1 : 64 enodes (cost 429 ) 1.432 * * [simplify]: iteration 2 : 83 enodes (cost 429 ) 1.434 * * [simplify]: iteration 3 : 124 enodes (cost 429 ) 1.436 * * [simplify]: iteration 4 : 224 enodes (cost 429 ) 1.439 * * [simplify]: iteration 5 : 546 enodes (cost 429 ) 1.454 * * [simplify]: iteration 6 : 2617 enodes (cost 429 ) 1.501 * * [simplify]: iteration 7 : 5001 enodes (cost 429 ) 1.502 * [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))) 1.503 * * * [progress]: adding candidates to table 1.744 * * [progress]: iteration 4 / 4 1.744 * * * [progress]: picking best candidate 1.841 * * * * [pick]: Picked # 1.841 * * * [progress]: localizing error 1.873 * * * [progress]: generating rewritten candidates 1.873 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.874 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.877 * * * [progress]: generating series expansions 1.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.877 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.877 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.877 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.877 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.877 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.878 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.878 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.878 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.878 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.879 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.879 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.879 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.880 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.880 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.880 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.881 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.881 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.881 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.881 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.881 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.882 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.882 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.882 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.882 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.883 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.883 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.883 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.884 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.884 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in (a) around 0 1.884 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.884 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.884 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) in a 1.884 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.894 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in (a) around 0 1.894 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.894 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.894 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a)))) in a 1.894 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.904 * [approximate]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in (a) around 0 1.904 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.904 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.904 * [taylor]: Taking taylor expansion of (exp (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a)))) in a 1.904 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.914 * * * [progress]: simplifying candidates 1.914 * [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 (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log1p (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (log (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (exp (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (cbrt (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (cbrt (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a))) (cbrt (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (* (* (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a) (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (sqrt (fmod (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) a)) (expm1 (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log1p (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (* (cbrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (cbrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (cbrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log 1) (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (* (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (exp (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (exp 1)) (log (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (exp (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* (cbrt (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (cbrt (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* (* (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))) (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (sqrt (log (exp (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))) 1.918 * * [simplify]: iteration 0 : 66 enodes (cost 566 ) 1.919 * * [simplify]: iteration 1 : 85 enodes (cost 483 ) 1.921 * * [simplify]: iteration 2 : 112 enodes (cost 483 ) 1.923 * * [simplify]: iteration 3 : 150 enodes (cost 483 ) 1.925 * * [simplify]: iteration 4 : 274 enodes (cost 483 ) 1.929 * * [simplify]: iteration 5 : 732 enodes (cost 483 ) 1.945 * * [simplify]: iteration 6 : 3399 enodes (cost 483 ) 2.002 * * [simplify]: iteration 7 : 5002 enodes (cost 483 ) 2.004 * [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 (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log1p (log (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (* 2 (log (cbrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))))) (log (cbrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (log (sqrt (exp (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))))) 0 (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (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))))) (sqrt (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) 1 (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)))) (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))) 2.004 * * * [progress]: adding candidates to table 2.283 * [progress]: [Phase 3 of 3] Extracting. 2.283 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # #) 2.297 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.297 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # #) 2.439 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 2.478 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # #) 2.600 * * * [regime]: Found split indices: #