0.008 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.413 * * * [progress]: [2/2] Setting up program. 0.417 * [progress]: [Phase 2 of 3] Improving. 0.417 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.419 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.420 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.420 * * [progress]: iteration 1 / 4 0.420 * * * [progress]: picking best candidate 0.423 * * * * [pick]: Picked # 0.423 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.436 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.438 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.439 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.442 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.443 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.444 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.446 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.446 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.448 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.448 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.448 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.448 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.448 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.448 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.449 * [taylor]: Rewrote expression to (- (exp a) 1) 0.449 * [taylor]: Taking taylor expansion of (exp a) in a 0.449 * [taylor]: Taking taylor expansion of a in a 0.449 * [taylor]: Taking taylor expansion of 1 in a 0.451 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.451 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.452 * [taylor]: Rewrote expression to (- (exp a) 1) 0.452 * [taylor]: Taking taylor expansion of (exp a) in a 0.452 * [taylor]: Taking taylor expansion of a in a 0.452 * [taylor]: Taking taylor expansion of 1 in a 0.463 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.463 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.463 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.463 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.463 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.463 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.463 * [taylor]: Taking taylor expansion of a in a 0.464 * [taylor]: Taking taylor expansion of 1 in a 0.464 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.464 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.464 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.464 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.464 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.464 * [taylor]: Taking taylor expansion of a in a 0.464 * [taylor]: Taking taylor expansion of 1 in a 0.486 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.486 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.486 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.486 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.486 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.486 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.486 * [taylor]: Taking taylor expansion of -1 in a 0.486 * [taylor]: Taking taylor expansion of a in a 0.487 * [taylor]: Taking taylor expansion of 1 in a 0.487 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.487 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.487 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.487 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.487 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.487 * [taylor]: Taking taylor expansion of -1 in a 0.487 * [taylor]: Taking taylor expansion of a in a 0.488 * [taylor]: Taking taylor expansion of 1 in a 0.512 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.512 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.513 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.513 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.513 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.513 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.513 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.513 * [taylor]: Rewrote expression to (- (exp a) 1) 0.513 * [taylor]: Taking taylor expansion of (exp a) in a 0.513 * [taylor]: Taking taylor expansion of a in a 0.513 * [taylor]: Taking taylor expansion of 1 in a 0.515 * [taylor]: Taking taylor expansion of 1 in a 0.515 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.515 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.515 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.515 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.515 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.515 * [taylor]: Rewrote expression to (- (exp a) 1) 0.515 * [taylor]: Taking taylor expansion of (exp a) in a 0.515 * [taylor]: Taking taylor expansion of a in a 0.515 * [taylor]: Taking taylor expansion of 1 in a 0.517 * [taylor]: Taking taylor expansion of 1 in a 0.526 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.526 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.526 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.526 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.526 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.526 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.526 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.526 * [taylor]: Taking taylor expansion of a in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.527 * [taylor]: Taking taylor expansion of 1 in a 0.527 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.527 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.527 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.527 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.527 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.527 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.527 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.527 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.527 * [taylor]: Taking taylor expansion of a in a 0.528 * [taylor]: Taking taylor expansion of 1 in a 0.528 * [taylor]: Taking taylor expansion of 1 in a 0.559 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.559 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.559 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.559 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.559 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.559 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.559 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.559 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.559 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.559 * [taylor]: Taking taylor expansion of -1 in a 0.559 * [taylor]: Taking taylor expansion of a in a 0.559 * [taylor]: Taking taylor expansion of 1 in a 0.560 * [taylor]: Taking taylor expansion of 1 in a 0.560 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.560 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.560 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.560 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.560 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.560 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.560 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.560 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.560 * [taylor]: Taking taylor expansion of -1 in a 0.560 * [taylor]: Taking taylor expansion of a in a 0.561 * [taylor]: Taking taylor expansion of 1 in a 0.561 * [taylor]: Taking taylor expansion of 1 in a 0.595 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.595 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.595 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.595 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.595 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.595 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.596 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.596 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.596 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.596 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.597 * * * [progress]: simplifying candidates 0.597 * [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)) 0.601 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.603 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.607 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.623 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.719 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.721 * [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)) 0.721 * * * [progress]: adding candidates to table 0.886 * * [progress]: iteration 2 / 4 0.886 * * * [progress]: picking best candidate 0.931 * * * * [pick]: Picked # 0.931 * * * [progress]: localizing error 0.947 * * * [progress]: generating rewritten candidates 0.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.947 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.947 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.949 * * * [progress]: generating series expansions 0.949 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.949 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.949 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.949 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.950 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.950 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.950 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.950 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.951 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.951 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.951 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.951 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.951 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.952 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.952 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.952 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.953 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.953 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.953 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.953 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.953 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.954 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.954 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.954 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.954 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.955 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.955 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.955 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) 0.955 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.955 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.955 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.956 * [taylor]: Rewrote expression to (- (exp a) 1) 0.956 * [taylor]: Taking taylor expansion of (exp a) in a 0.956 * [taylor]: Taking taylor expansion of a in a 0.956 * [taylor]: Taking taylor expansion of 1 in a 0.957 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.957 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.957 * [taylor]: Rewrote expression to (- (exp a) 1) 0.957 * [taylor]: Taking taylor expansion of (exp a) in a 0.957 * [taylor]: Taking taylor expansion of a in a 0.957 * [taylor]: Taking taylor expansion of 1 in a 0.967 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.967 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.967 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.967 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.967 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.967 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.967 * [taylor]: Taking taylor expansion of a in a 0.968 * [taylor]: Taking taylor expansion of 1 in a 0.968 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.968 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.968 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.968 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.968 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.968 * [taylor]: Taking taylor expansion of a in a 0.968 * [taylor]: Taking taylor expansion of 1 in a 0.992 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.992 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.992 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.992 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.992 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.992 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.992 * [taylor]: Taking taylor expansion of -1 in a 0.992 * [taylor]: Taking taylor expansion of a in a 0.992 * [taylor]: Taking taylor expansion of 1 in a 0.992 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.993 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.993 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.993 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.993 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.993 * [taylor]: Taking taylor expansion of -1 in a 0.993 * [taylor]: Taking taylor expansion of a in a 0.993 * [taylor]: Taking taylor expansion of 1 in a 1.013 * * * [progress]: simplifying candidates 1.014 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 1.017 * * [simplify]: iteration 0 : 67 enodes (cost 360 ) 1.019 * * [simplify]: iteration 1 : 138 enodes (cost 315 ) 1.021 * * [simplify]: iteration 2 : 360 enodes (cost 315 ) 1.029 * * [simplify]: iteration 3 : 1390 enodes (cost 315 ) 1.076 * * [simplify]: iteration 4 : 5001 enodes (cost 315 ) 1.078 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.078 * * * [progress]: adding candidates to table 1.277 * * [progress]: iteration 3 / 4 1.278 * * * [progress]: picking best candidate 1.355 * * * * [pick]: Picked # 1.355 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.384 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 1.392 * * * [progress]: generating series expansions 1.392 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.393 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.393 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.394 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.395 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.395 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.396 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.397 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.397 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.398 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.399 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.399 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 1.399 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.399 * [taylor]: Taking taylor expansion of 1/3 in a 1.399 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.399 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.400 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.400 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.400 * [taylor]: Rewrote expression to (- (exp a) 1) 1.400 * [taylor]: Taking taylor expansion of (exp a) in a 1.400 * [taylor]: Taking taylor expansion of a in a 1.400 * [taylor]: Taking taylor expansion of 1 in a 1.403 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.403 * [taylor]: Taking taylor expansion of 1/3 in a 1.403 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.403 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.403 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.403 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.403 * [taylor]: Rewrote expression to (- (exp a) 1) 1.403 * [taylor]: Taking taylor expansion of (exp a) in a 1.403 * [taylor]: Taking taylor expansion of a in a 1.403 * [taylor]: Taking taylor expansion of 1 in a 1.420 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 1.420 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.420 * [taylor]: Taking taylor expansion of 1/3 in a 1.420 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.420 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.420 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.420 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.420 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.420 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.420 * [taylor]: Taking taylor expansion of a in a 1.420 * [taylor]: Taking taylor expansion of 1 in a 1.421 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.422 * [taylor]: Taking taylor expansion of 1/3 in a 1.422 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.422 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.422 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.422 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.422 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.422 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.422 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.422 * [taylor]: Taking taylor expansion of a in a 1.422 * [taylor]: Taking taylor expansion of 1 in a 1.481 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 1.481 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.481 * [taylor]: Taking taylor expansion of 1/3 in a 1.481 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.481 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.481 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.481 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.481 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.481 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.481 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.481 * [taylor]: Taking taylor expansion of -1 in a 1.481 * [taylor]: Taking taylor expansion of a in a 1.481 * [taylor]: Taking taylor expansion of 1 in a 1.482 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.482 * [taylor]: Taking taylor expansion of 1/3 in a 1.482 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.482 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.482 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.482 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.483 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.483 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.483 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.483 * [taylor]: Taking taylor expansion of -1 in a 1.483 * [taylor]: Taking taylor expansion of a in a 1.483 * [taylor]: Taking taylor expansion of 1 in a 1.544 * * * [progress]: simplifying candidates 1.545 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (+ 1 1) (+ (log (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a))))) (log (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (exp (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 1 1) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 2 1/3) (* 2 1) (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt 1)) (* (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) 1) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (pow a 2/3) (* 1/3 (pow (pow a 5) 1/3))) (* 1/36 (pow (pow a 8) 1/3))) (pow (pow (sin (- (exp a) 1)) 2) 1/3) (pow (pow (sin (- (exp a) 1)) 2) 1/3) 1.549 * * [simplify]: iteration 0 : 151 enodes (cost 788 ) 1.552 * * [simplify]: iteration 1 : 447 enodes (cost 697 ) 1.564 * * [simplify]: iteration 2 : 1900 enodes (cost 571 ) 1.608 * * [simplify]: iteration 3 : 5001 enodes (cost 561 ) 1.611 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) 2/3 2 (pow (sin (expm1 a)) 2) (pow (pow (sin (expm1 a)) 2) 1/3) 2 (* 2 (log (cbrt (sin (expm1 a))))) (* 2 (log (cbrt (sin (expm1 a))))) (pow (exp 1) (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (pow (sin (expm1 a)) 2) (fabs (cbrt (sin (expm1 a)))) (fabs (cbrt (sin (expm1 a)))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) 1 (pow (pow (sin (expm1 a)) 2) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 1 (pow (pow (sin (expm1 a)) 2) 1/3) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 2/3 2 (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 5) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (pow (sin (expm1 a)) 2) 1/3) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow (pow a 5) 1/3) 1/3 (- (pow a 2/3) (* 1/36 (pow (pow a 8) 1/3)))) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) 1.611 * * * [progress]: adding candidates to table 1.975 * * [progress]: iteration 4 / 4 1.976 * * * [progress]: picking best candidate 2.121 * * * * [pick]: Picked # 2.122 * * * [progress]: localizing error 2.155 * * * [progress]: generating rewritten candidates 2.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1 2) 2.160 * * * [progress]: generating series expansions 2.160 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.160 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.160 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.160 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.160 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.160 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.161 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.161 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.161 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.161 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.162 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.162 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.162 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.162 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.163 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.163 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.163 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.163 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.163 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.164 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.164 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.165 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.165 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.165 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.165 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.165 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.166 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.166 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.167 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.167 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1 2) 2.167 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in (a) around 0 2.167 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in a 2.167 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/9) in a 2.167 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 a))))) in a 2.167 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 a)))) in a 2.167 * [taylor]: Taking taylor expansion of 1/9 in a 2.167 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 2.167 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.167 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.167 * [taylor]: Rewrote expression to (- (exp a) 1) 2.168 * [taylor]: Taking taylor expansion of (exp a) in a 2.168 * [taylor]: Taking taylor expansion of a in a 2.168 * [taylor]: Taking taylor expansion of 1 in a 2.170 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in a 2.170 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/9) in a 2.170 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 a))))) in a 2.170 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 a)))) in a 2.170 * [taylor]: Taking taylor expansion of 1/9 in a 2.170 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 2.170 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.170 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.170 * [taylor]: Rewrote expression to (- (exp a) 1) 2.170 * [taylor]: Taking taylor expansion of (exp a) in a 2.170 * [taylor]: Taking taylor expansion of a in a 2.170 * [taylor]: Taking taylor expansion of 1 in a 2.185 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in (a) around 0 2.185 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in a 2.185 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/9) in a 2.185 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ 1 a)))))) in a 2.185 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ 1 a))))) in a 2.185 * [taylor]: Taking taylor expansion of 1/9 in a 2.185 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 2.185 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.185 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.185 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.185 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.185 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.185 * [taylor]: Taking taylor expansion of a in a 2.185 * [taylor]: Taking taylor expansion of 1 in a 2.186 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in a 2.186 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/9) in a 2.186 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ 1 a)))))) in a 2.186 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ 1 a))))) in a 2.186 * [taylor]: Taking taylor expansion of 1/9 in a 2.186 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 2.186 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.186 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.186 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.186 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.186 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.186 * [taylor]: Taking taylor expansion of a in a 2.187 * [taylor]: Taking taylor expansion of 1 in a 2.253 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in (a) around 0 2.253 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in a 2.253 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/9) in a 2.253 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ -1 a)))))) in a 2.253 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ -1 a))))) in a 2.253 * [taylor]: Taking taylor expansion of 1/9 in a 2.253 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 2.253 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.253 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.253 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.253 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.253 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.253 * [taylor]: Taking taylor expansion of -1 in a 2.253 * [taylor]: Taking taylor expansion of a in a 2.253 * [taylor]: Taking taylor expansion of 1 in a 2.254 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in a 2.254 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/9) in a 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ -1 a)))))) in a 2.254 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ -1 a))))) in a 2.254 * [taylor]: Taking taylor expansion of 1/9 in a 2.254 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 2.254 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.254 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.254 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.254 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.254 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.254 * [taylor]: Taking taylor expansion of -1 in a 2.254 * [taylor]: Taking taylor expansion of a in a 2.255 * [taylor]: Taking taylor expansion of 1 in a 2.321 * * * [progress]: simplifying candidates 2.322 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log1p (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (log (cbrt (cbrt (sin (expm1 a))))) 4) (* (log (cbrt (cbrt (sin (expm1 a))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (cbrt (sin (expm1 a)))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt (sin (expm1 a)))) (sqrt 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 1) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt 1)) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt 1) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (* (cbrt (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (sqrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (sqrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow 1 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (exp (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4))) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) (/ 4 2)) (pow (cbrt (cbrt (sin (expm1 a)))) (/ 4 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) (- (+ (pow (pow a 4) 1/9) (* 2/9 (pow (pow a 13) 1/9))) (* 5/162 (pow (pow a 22) 1/9))) (pow (pow (sin (- (exp a) 1)) 4) 1/9) (pow (pow (sin (- (exp a) 1)) 4) 1/9) 2.326 * * [simplify]: iteration 0 : 180 enodes (cost 743 ) 2.329 * * [simplify]: iteration 1 : 492 enodes (cost 656 ) 2.339 * * [simplify]: iteration 2 : 1705 enodes (cost 648 ) 2.386 * * [simplify]: iteration 3 : 5001 enodes (cost 648 ) 2.389 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log1p (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) 4/3 4 (pow (cbrt (cbrt (sin (expm1 a)))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (cbrt (cbrt (sin (expm1 a)))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 8) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (pow (cbrt (cbrt (sin (expm1 a)))) 2) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (exp (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4))) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (pow (cbrt (cbrt (sin (expm1 a)))) 4) 3) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (pow (cbrt (cbrt (sin (expm1 a)))) 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) (fma (pow (pow a 13) 1/9) 2/9 (- (pow (pow a 4) 1/9) (* 5/162 (pow (pow a 22) 1/9)))) (pow (pow (sin (expm1 a)) 4) 1/9) (pow (pow (sin (expm1 a)) 4) 1/9) 2.390 * * * [progress]: adding candidates to table 2.767 * [progress]: [Phase 3 of 3] Extracting. 2.767 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 2.798 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.798 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.032 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# #) 3.071 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.287 * * * [regime]: Found split indices: #