0.648 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.911 * * * [progress]: [2/2] Setting up program. 0.919 * [progress]: [Phase 2 of 3] Improving. 0.922 * [simplify]: Simplifying: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.923 * * [simplify]: Extracting # 0 : cost 0 0.924 * * [simplify]: Extracting # 1 : cost 0 0.924 * * [simplify]: Extracting # 2 : cost 0 0.924 * * [simplify]: Extracting # 3 : cost 0 0.924 * * [simplify]: Extracting # 4 : cost 0 0.924 * * [simplify]: Extracting # 5 : cost 0 0.924 * * [simplify]: Extracting # 6 : cost 0 0.924 * * [simplify]: Extracting # 7 : cost 0 0.924 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.929 * * [simplify]: Extracting # 0 : cost 0 0.929 * * [simplify]: iteration done: 8 enodes (cost 10 ) 0.929 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.932 * * [progress]: iteration 1 / 4 0.932 * * * [progress]: picking best candidate 0.939 * * * * [pick]: Picked # 0.939 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.977 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.984 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.030 * * * [progress]: generating series expansions 1.031 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.035 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.035 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.036 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.042 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.042 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.042 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.043 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.046 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1.046 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.046 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.046 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1.046 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.047 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1.047 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.049 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1.049 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.049 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.049 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1.049 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.050 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1.050 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.051 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.051 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.051 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.051 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.051 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.051 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 1.051 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.051 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 1.051 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.051 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.051 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 1.051 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.052 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 1.052 * [backup-simplify]: Simplify (* (sin (expm1 a)) 1) into (sin (expm1 a)) 1.052 * [backup-simplify]: Simplify (* (cos (expm1 a)) 0) into 0 1.052 * [backup-simplify]: Simplify (+ (sin (expm1 a)) 0) into (sin (expm1 a)) 1.052 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.054 * [backup-simplify]: Simplify (+ 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.056 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (* 0 0)) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 1.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.060 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.071 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.077 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.084 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.084 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.084 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.084 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.084 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.084 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 1.084 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.084 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 1.084 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.084 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.084 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 1.084 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.084 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 1.085 * [backup-simplify]: Simplify (* (sin (expm1 (/ 1 a))) 1) into (sin (expm1 (/ 1 a))) 1.085 * [backup-simplify]: Simplify (* (cos (expm1 (/ 1 a))) 0) into 0 1.085 * [backup-simplify]: Simplify (+ (sin (expm1 (/ 1 a))) 0) into (sin (expm1 (/ 1 a))) 1.085 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.085 * [backup-simplify]: Simplify (+ 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.086 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (* 0 0)) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.094 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.099 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.102 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.105 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (/ 1 a)))) into (sin (expm1 a)) 1.106 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (- a)))) into (sin (expm1 (/ -1 a))) 1.106 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.106 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.106 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.106 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 1.106 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.106 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 1.106 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.106 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.106 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 1.106 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.107 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 1.107 * [backup-simplify]: Simplify (* (sin (expm1 (/ -1 a))) 1) into (sin (expm1 (/ -1 a))) 1.107 * [backup-simplify]: Simplify (* (cos (expm1 (/ -1 a))) 0) into 0 1.107 * [backup-simplify]: Simplify (+ (sin (expm1 (/ -1 a))) 0) into (sin (expm1 (/ -1 a))) 1.107 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.108 * [backup-simplify]: Simplify (+ 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (* 0 1)) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.110 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (* 0 0)) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.114 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.124 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.133 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 6) 720)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.138 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (sin (expm1 (/ -1 (/ 1 (- a))))) into (sin (expm1 a)) 1.139 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.139 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 1.139 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.139 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.139 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.139 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 1.139 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.140 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (/ 1 a))))) into (expm1 (sin (expm1 a))) 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (- a))))) into (expm1 (sin (expm1 (/ -1 a)))) 1.140 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 1.140 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.140 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.140 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) into (expm1 (sin (expm1 a))) 1.141 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.141 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.141 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.141 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.141 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.141 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.141 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.141 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.142 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.142 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.142 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.142 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.142 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.142 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.142 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.143 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.143 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.143 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.143 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.143 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.143 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.143 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.143 * * * [progress]: simplifying candidates 1.144 * [simplify]: Simplifying: (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)) (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))) (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)))) (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 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)) 1.145 * * [simplify]: Extracting # 0 : cost 0 1.145 * * [simplify]: Extracting # 1 : cost 0 1.145 * * [simplify]: Extracting # 2 : cost 0 1.145 * * [simplify]: Extracting # 3 : cost 0 1.145 * * [simplify]: Extracting # 4 : cost 0 1.145 * * [simplify]: Extracting # 5 : cost 0 1.145 * * [simplify]: iteration 0 : 35 enodes (cost 339 ) 1.160 * * [simplify]: Extracting # 0 : cost 0 1.160 * * [simplify]: iteration 1 : 39 enodes (cost 339 ) 1.171 * * [simplify]: Extracting # 0 : cost 0 1.171 * * [simplify]: Extracting # 1 : cost 0 1.171 * * [simplify]: Extracting # 2 : cost 0 1.171 * * [simplify]: Extracting # 3 : cost 0 1.171 * * [simplify]: iteration 2 : 44 enodes (cost 293 ) 1.181 * * [simplify]: Extracting # 0 : cost 0 1.181 * * [simplify]: Extracting # 1 : cost 0 1.181 * * [simplify]: Extracting # 2 : cost 0 1.181 * * [simplify]: Extracting # 3 : cost 0 1.181 * * [simplify]: Extracting # 4 : cost 0 1.181 * * [simplify]: iteration 3 : 55 enodes (cost 293 ) 1.190 * * [simplify]: Extracting # 0 : cost 0 1.190 * * [simplify]: Extracting # 1 : cost 0 1.190 * * [simplify]: Extracting # 2 : cost 0 1.191 * * [simplify]: Extracting # 3 : cost 0 1.191 * * [simplify]: iteration 4 : 70 enodes (cost 293 ) 1.201 * * [simplify]: Extracting # 0 : cost 0 1.202 * * [simplify]: Extracting # 1 : cost 0 1.202 * * [simplify]: Extracting # 2 : cost 0 1.202 * * [simplify]: Extracting # 3 : cost 0 1.202 * * [simplify]: iteration 5 : 101 enodes (cost 293 ) 1.233 * * [simplify]: Extracting # 0 : cost 0 1.233 * * [simplify]: Extracting # 1 : cost 0 1.234 * * [simplify]: Extracting # 2 : cost 0 1.234 * * [simplify]: Extracting # 3 : cost 0 1.234 * * [simplify]: Extracting # 4 : cost 0 1.234 * * [simplify]: iteration 6 : 176 enodes (cost 293 ) 1.348 * * [simplify]: Extracting # 0 : cost 0 1.349 * * [simplify]: Extracting # 1 : cost 0 1.349 * * [simplify]: Extracting # 2 : cost 0 1.350 * * [simplify]: Extracting # 3 : cost 0 1.350 * * [simplify]: Extracting # 4 : cost 0 1.351 * * [simplify]: iteration 7 : 436 enodes (cost 293 ) 1.928 * * [simplify]: Extracting # 0 : cost 0 1.931 * * [simplify]: Extracting # 1 : cost 0 1.934 * * [simplify]: Extracting # 2 : cost 0 1.936 * * [simplify]: Extracting # 3 : cost 0 1.939 * * [simplify]: Extracting # 4 : cost 0 1.942 * * [simplify]: iteration 8 : 1564 enodes (cost 293 ) 2.904 * * [simplify]: Extracting # 0 : cost 0 2.912 * * [simplify]: Extracting # 1 : cost 0 2.925 * * [simplify]: Extracting # 2 : cost 0 2.930 * * [simplify]: Extracting # 3 : cost 0 2.935 * * [simplify]: Extracting # 4 : cost 0 2.940 * * [simplify]: Extracting # 5 : cost 0 2.945 * * [simplify]: Extracting # 6 : cost 0 2.952 * * [simplify]: iteration done: 5001 enodes (cost 293 ) 2.953 * [simplify]: Simplified to: (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)) (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))) (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)))) (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) (sin (expm1 a)) (sin (expm1 a)) (sin (expm1 a)) (expm1 (sin (expm1 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)) 2.953 * * * [progress]: adding candidates to table 3.133 * * [progress]: iteration 2 / 4 3.133 * * * [progress]: picking best candidate 3.188 * * * * [pick]: Picked # 3.188 * * * [progress]: localizing error 3.241 * * * [progress]: generating rewritten candidates 3.241 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.242 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.243 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.246 * * * [progress]: generating series expansions 3.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.246 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.246 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.246 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.246 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.246 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.246 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.247 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.247 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.247 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.247 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.247 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.247 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.247 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.248 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.248 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.248 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.248 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.248 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.248 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.248 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.249 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.249 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.249 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.249 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.249 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.249 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.249 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.250 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.250 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.250 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.250 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.251 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.251 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.251 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.251 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.251 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.251 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.252 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.252 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.252 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.252 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.252 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.253 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.253 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.253 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.253 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.253 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.253 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.253 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.254 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.254 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.254 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.254 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.254 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.254 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.254 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.255 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.255 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.255 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in (a) around 0 3.255 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.255 * [taylor]: Taking taylor expansion of 1/3 in a 3.255 * [backup-simplify]: Simplify 1/3 into 1/3 3.255 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.255 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.255 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.256 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.256 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3.256 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.256 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.256 * [taylor]: Taking taylor expansion of 1/3 in a 3.256 * [backup-simplify]: Simplify 1/3 into 1/3 3.256 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.256 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.256 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.256 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.257 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 3.257 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.257 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 1) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into 0 3.260 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 2) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) into 0 3.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 6) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))))) into 0 3.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 24) into 0 3.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))))) into 0 3.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 120) into 0 3.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))))))) into 0 3.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 720) into 0 3.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))))))) into 0 3.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.319 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.319 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in (a) around 0 3.319 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.319 * [taylor]: Taking taylor expansion of 1/3 in a 3.319 * [backup-simplify]: Simplify 1/3 into 1/3 3.319 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.319 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.320 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.320 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) 3.320 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) 3.321 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.321 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.321 * [taylor]: Taking taylor expansion of 1/3 in a 3.321 * [backup-simplify]: Simplify 1/3 into 1/3 3.321 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.321 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.321 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3.322 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) 3.322 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) 3.323 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.323 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) 3.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 1) into 0 3.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into 0 3.327 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 2) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))) into 0 3.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 6) into 0 3.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))))) into 0 3.340 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 24) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))))) into 0 3.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 120) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))))))) into 0 3.381 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1)))) 720) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))))))) into 0 3.395 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.396 * [backup-simplify]: Simplify (cbrt (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a)))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.396 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in (a) around 0 3.396 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.396 * [taylor]: Taking taylor expansion of 1/3 in a 3.396 * [backup-simplify]: Simplify 1/3 into 1/3 3.396 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.397 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) 3.397 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) 3.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.397 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.397 * [taylor]: Taking taylor expansion of 1/3 in a 3.397 * [backup-simplify]: Simplify 1/3 into 1/3 3.397 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.397 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3.397 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) into (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) 3.398 * [backup-simplify]: Simplify (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) into (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) 3.398 * [backup-simplify]: Simplify (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.398 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) 3.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 1) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into 0 3.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 2) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))) into 0 3.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 6) into 0 3.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))))) into 0 3.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 24) into 0 3.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))))) into 0 3.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 120) into 0 3.432 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))))))) into 0 3.437 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1)))) 720) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))))))) into 0 3.463 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) 1/3) into (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.464 * * * [progress]: simplifying candidates 3.465 * [simplify]: Simplifying: (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)) (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)) (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)) (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (exp (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt 1) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (* (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) 3.467 * * [simplify]: Extracting # 0 : cost 0 3.467 * * [simplify]: Extracting # 1 : cost 0 3.467 * * [simplify]: Extracting # 2 : cost 0 3.467 * * [simplify]: Extracting # 3 : cost 0 3.467 * * [simplify]: Extracting # 4 : cost 0 3.467 * * [simplify]: Extracting # 5 : cost 0 3.467 * * [simplify]: Extracting # 6 : cost 0 3.467 * * [simplify]: Extracting # 7 : cost 0 3.467 * * [simplify]: Extracting # 8 : cost 0 3.468 * * [simplify]: iteration 0 : 26 enodes (cost 591 ) 3.476 * * [simplify]: Extracting # 0 : cost 0 3.476 * * [simplify]: Extracting # 1 : cost 0 3.476 * * [simplify]: Extracting # 2 : cost 0 3.476 * * [simplify]: Extracting # 3 : cost 0 3.477 * * [simplify]: Extracting # 4 : cost 0 3.477 * * [simplify]: iteration 1 : 35 enodes (cost 587 ) 3.489 * * [simplify]: Extracting # 0 : cost 0 3.489 * * [simplify]: Extracting # 1 : cost 0 3.489 * * [simplify]: Extracting # 2 : cost 0 3.489 * * [simplify]: Extracting # 3 : cost 0 3.490 * * [simplify]: iteration 2 : 63 enodes (cost 473 ) 3.511 * * [simplify]: Extracting # 0 : cost 0 3.512 * * [simplify]: Extracting # 1 : cost 0 3.512 * * [simplify]: Extracting # 2 : cost 0 3.512 * * [simplify]: Extracting # 3 : cost 0 3.512 * * [simplify]: Extracting # 4 : cost 0 3.512 * * [simplify]: iteration 3 : 117 enodes (cost 470 ) 3.553 * * [simplify]: Extracting # 0 : cost 0 3.553 * * [simplify]: Extracting # 1 : cost 0 3.554 * * [simplify]: Extracting # 2 : cost 0 3.554 * * [simplify]: Extracting # 3 : cost 0 3.554 * * [simplify]: Extracting # 4 : cost 0 3.555 * * [simplify]: iteration 4 : 434 enodes (cost 470 ) 5.037 * * [simplify]: Extracting # 0 : cost 0 5.041 * * [simplify]: Extracting # 1 : cost 0 5.044 * * [simplify]: Extracting # 2 : cost 0 5.047 * * [simplify]: Extracting # 3 : cost 0 5.050 * * [simplify]: Extracting # 4 : cost 0 5.053 * * [simplify]: iteration 5 : 2941 enodes (cost 470 ) 8.005 * * [simplify]: Extracting # 0 : cost 0 8.012 * * [simplify]: Extracting # 1 : cost 0 8.018 * * [simplify]: Extracting # 2 : cost 0 8.029 * * [simplify]: Extracting # 3 : cost 0 8.034 * * [simplify]: Extracting # 4 : cost 0 8.043 * * [simplify]: iteration done: 5001 enodes (cost 470 ) 8.043 * [simplify]: Simplified to: (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3) (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)) (log (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (exp (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2/3)) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) 1 (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (cbrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (sqrt (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (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) (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)) 8.044 * * * [progress]: adding candidates to table 8.237 * * [progress]: iteration 3 / 4 8.237 * * * [progress]: picking best candidate 8.333 * * * * [pick]: Picked # 8.333 * * * [progress]: localizing error 8.384 * * * [progress]: generating rewritten candidates 8.385 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 8.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 8.385 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 8.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 8.386 * * * [progress]: generating series expansions 8.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 8.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.387 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 8.387 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.387 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.388 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.388 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 8.388 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.388 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.388 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.388 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.388 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.389 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.389 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 8.389 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.389 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.389 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.389 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.389 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 8.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.390 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.390 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 8.391 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.391 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.391 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.391 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.391 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.392 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.392 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 8.392 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.392 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.392 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.392 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.392 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.393 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 8.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.393 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.393 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 8.393 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.394 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.394 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.394 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.394 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.394 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 8.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.395 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.395 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.395 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.395 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 8.395 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.395 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 8.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.396 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 8.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.396 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.396 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.397 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.397 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.397 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.397 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 8.397 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.398 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.398 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.398 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.398 * * * [progress]: simplifying candidates 8.399 * [simplify]: Simplifying: (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)) (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)) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 8.400 * * [simplify]: Extracting # 0 : cost 0 8.400 * * [simplify]: Extracting # 1 : cost 0 8.400 * * [simplify]: Extracting # 2 : cost 0 8.400 * * [simplify]: Extracting # 3 : cost 0 8.400 * * [simplify]: Extracting # 4 : cost 0 8.400 * * [simplify]: Extracting # 5 : cost 0 8.400 * * [simplify]: Extracting # 6 : cost 0 8.400 * * [simplify]: Extracting # 7 : cost 0 8.400 * * [simplify]: Extracting # 8 : cost 0 8.400 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 8.402 * * [simplify]: Extracting # 0 : cost 0 8.402 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 8.404 * * [simplify]: Extracting # 0 : cost 0 8.404 * * [simplify]: Extracting # 1 : cost 0 8.404 * * [simplify]: Extracting # 2 : cost 0 8.404 * * [simplify]: Extracting # 3 : cost 0 8.404 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 8.406 * * [simplify]: Extracting # 0 : cost 0 8.406 * * [simplify]: Extracting # 1 : cost 0 8.406 * * [simplify]: Extracting # 2 : cost 0 8.406 * * [simplify]: Extracting # 3 : cost 0 8.407 * * [simplify]: Extracting # 4 : cost 0 8.407 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 8.412 * * [simplify]: Extracting # 0 : cost 0 8.412 * * [simplify]: Extracting # 1 : cost 0 8.412 * * [simplify]: Extracting # 2 : cost 0 8.412 * * [simplify]: Extracting # 3 : cost 0 8.412 * * [simplify]: Extracting # 4 : cost 0 8.412 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 8.420 * * [simplify]: Extracting # 0 : cost 0 8.421 * * [simplify]: Extracting # 1 : cost 0 8.421 * * [simplify]: Extracting # 2 : cost 0 8.421 * * [simplify]: Extracting # 3 : cost 0 8.421 * * [simplify]: Extracting # 4 : cost 0 8.421 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 8.443 * * [simplify]: Extracting # 0 : cost 0 8.443 * * [simplify]: Extracting # 1 : cost 0 8.444 * * [simplify]: Extracting # 2 : cost 0 8.444 * * [simplify]: Extracting # 3 : cost 0 8.444 * * [simplify]: Extracting # 4 : cost 0 8.444 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 8.466 * * [simplify]: Extracting # 0 : cost 0 8.466 * * [simplify]: Extracting # 1 : cost 0 8.466 * * [simplify]: Extracting # 2 : cost 0 8.466 * * [simplify]: Extracting # 3 : cost 0 8.467 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 8.563 * * [simplify]: Extracting # 0 : cost 0 8.563 * * [simplify]: Extracting # 1 : cost 0 8.564 * * [simplify]: Extracting # 2 : cost 0 8.564 * * [simplify]: Extracting # 3 : cost 0 8.564 * * [simplify]: Extracting # 4 : cost 0 8.565 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 9.657 * * [simplify]: Extracting # 0 : cost 0 9.660 * * [simplify]: Extracting # 1 : cost 0 9.662 * * [simplify]: Extracting # 2 : cost 0 9.664 * * [simplify]: Extracting # 3 : cost 0 9.665 * * [simplify]: Extracting # 4 : cost 0 9.666 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 10.923 * * [simplify]: Extracting # 0 : cost 0 10.933 * * [simplify]: Extracting # 1 : cost 0 10.942 * * [simplify]: Extracting # 2 : cost 0 10.950 * * [simplify]: Extracting # 3 : cost 0 10.955 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 10.955 * [simplify]: Simplified to: (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)) (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)) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.956 * * * [progress]: adding candidates to table 11.179 * * [progress]: iteration 4 / 4 11.179 * * * [progress]: picking best candidate 11.283 * * * * [pick]: Picked # 11.283 * * * [progress]: localizing error 11.373 * * * [progress]: generating rewritten candidates 11.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 11.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 2 1) 11.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 1) 11.375 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1 1 1 1) 11.375 * * * [progress]: generating series expansions 11.375 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 11.375 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.375 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 11.375 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.376 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.376 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 11.376 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.376 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.377 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.377 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.377 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.377 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.377 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 11.377 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.378 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.378 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.378 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.378 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 2 1) 11.378 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.378 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 11.378 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.379 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.379 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 11.379 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.379 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.379 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.380 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.380 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.380 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.380 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 11.380 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.381 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.381 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.381 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.381 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 1) 11.381 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.381 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 11.381 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.382 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.382 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 11.382 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.382 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.382 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.383 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.383 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.383 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.383 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 11.383 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.383 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.383 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.384 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.384 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.384 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1 1 1 1) 11.384 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.384 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 11.384 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.384 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.384 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.385 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 11.385 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.385 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 11.385 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.386 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.386 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) (/ 1 (- a))) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.386 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 11.386 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.386 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.386 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 11.386 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) into (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) (/ -1 (/ 1 (- a)))) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.387 * * * [progress]: simplifying candidates 11.388 * [simplify]: Simplifying: (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)) (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)) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 11.388 * * [simplify]: Extracting # 0 : cost 0 11.388 * * [simplify]: Extracting # 1 : cost 0 11.388 * * [simplify]: Extracting # 2 : cost 0 11.388 * * [simplify]: Extracting # 3 : cost 0 11.388 * * [simplify]: Extracting # 4 : cost 0 11.388 * * [simplify]: Extracting # 5 : cost 0 11.388 * * [simplify]: Extracting # 6 : cost 0 11.388 * * [simplify]: Extracting # 7 : cost 0 11.388 * * [simplify]: Extracting # 8 : cost 0 11.389 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 11.390 * * [simplify]: Extracting # 0 : cost 0 11.390 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 11.392 * * [simplify]: Extracting # 0 : cost 0 11.392 * * [simplify]: Extracting # 1 : cost 0 11.392 * * [simplify]: Extracting # 2 : cost 0 11.392 * * [simplify]: Extracting # 3 : cost 0 11.392 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 11.395 * * [simplify]: Extracting # 0 : cost 0 11.395 * * [simplify]: Extracting # 1 : cost 0 11.395 * * [simplify]: Extracting # 2 : cost 0 11.395 * * [simplify]: Extracting # 3 : cost 0 11.395 * * [simplify]: Extracting # 4 : cost 0 11.395 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 11.399 * * [simplify]: Extracting # 0 : cost 0 11.399 * * [simplify]: Extracting # 1 : cost 0 11.399 * * [simplify]: Extracting # 2 : cost 0 11.399 * * [simplify]: Extracting # 3 : cost 0 11.399 * * [simplify]: Extracting # 4 : cost 0 11.399 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 11.406 * * [simplify]: Extracting # 0 : cost 0 11.406 * * [simplify]: Extracting # 1 : cost 0 11.406 * * [simplify]: Extracting # 2 : cost 0 11.406 * * [simplify]: Extracting # 3 : cost 0 11.406 * * [simplify]: Extracting # 4 : cost 0 11.406 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 11.418 * * [simplify]: Extracting # 0 : cost 0 11.418 * * [simplify]: Extracting # 1 : cost 0 11.418 * * [simplify]: Extracting # 2 : cost 0 11.419 * * [simplify]: Extracting # 3 : cost 0 11.419 * * [simplify]: Extracting # 4 : cost 0 11.419 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 11.445 * * [simplify]: Extracting # 0 : cost 0 11.445 * * [simplify]: Extracting # 1 : cost 0 11.445 * * [simplify]: Extracting # 2 : cost 0 11.446 * * [simplify]: Extracting # 3 : cost 0 11.446 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 11.584 * * [simplify]: Extracting # 0 : cost 0 11.584 * * [simplify]: Extracting # 1 : cost 0 11.585 * * [simplify]: Extracting # 2 : cost 0 11.586 * * [simplify]: Extracting # 3 : cost 0 11.586 * * [simplify]: Extracting # 4 : cost 0 11.587 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 12.567 * * [simplify]: Extracting # 0 : cost 0 12.568 * * [simplify]: Extracting # 1 : cost 0 12.570 * * [simplify]: Extracting # 2 : cost 0 12.575 * * [simplify]: Extracting # 3 : cost 0 12.576 * * [simplify]: Extracting # 4 : cost 0 12.577 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 13.648 * * [simplify]: Extracting # 0 : cost 0 13.653 * * [simplify]: Extracting # 1 : cost 0 13.658 * * [simplify]: Extracting # 2 : cost 0 13.664 * * [simplify]: Extracting # 3 : cost 0 13.669 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 13.669 * [simplify]: Simplified to: (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)) (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)) (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)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 13.669 * * * [progress]: adding candidates to table 13.967 * [progress]: [Phase 3 of 3] Extracting. 13.968 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 13.982 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 13.983 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # #) 14.120 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # #) 14.244 * * * [regime]: Found split indices: #