0.943 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.957 * * * [progress]: [2/2] Setting up program. 0.962 * [progress]: [Phase 2 of 3] Improving. 0.964 * [simplify]: Simplifying: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.965 * * [simplify]: Extracting # 0 : cost 0 0.965 * * [simplify]: Extracting # 1 : cost 0 0.965 * * [simplify]: Extracting # 2 : cost 0 0.965 * * [simplify]: Extracting # 3 : cost 0 0.966 * * [simplify]: Extracting # 4 : cost 0 0.966 * * [simplify]: Extracting # 5 : cost 0 0.966 * * [simplify]: Extracting # 6 : cost 0 0.966 * * [simplify]: Extracting # 7 : cost 0 0.966 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.968 * * [simplify]: Extracting # 0 : cost 0 0.968 * * [simplify]: iteration done: 8 enodes (cost 10 ) 0.968 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.970 * * [progress]: iteration 1 / 4 0.970 * * * [progress]: picking best candidate 0.973 * * * * [pick]: Picked # 0.973 * * * [progress]: localizing error 0.990 * * * [progress]: generating rewritten candidates 0.990 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.991 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.996 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.038 * * * [progress]: generating series expansions 1.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.044 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.044 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.045 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.052 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.052 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.052 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.053 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1.056 * [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)) 1.056 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.056 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.056 * [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)) 1.056 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.057 * [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)) 1.057 * [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)) 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [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) 1.059 * [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)) 1.059 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.059 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.059 * [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)) 1.059 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.059 * [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)) 1.060 * [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)) 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [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) 1.060 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.060 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.060 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.060 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.060 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.061 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 1.061 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.061 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 1.061 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.061 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.061 * [backup-simplify]: Simplify (expm1 a) into (expm1 a) 1.061 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.061 * [backup-simplify]: Simplify (cos (expm1 a)) into (cos (expm1 a)) 1.062 * [backup-simplify]: Simplify (* (sin (expm1 a)) 1) into (sin (expm1 a)) 1.062 * [backup-simplify]: Simplify (* (cos (expm1 a)) 0) into 0 1.062 * [backup-simplify]: Simplify (+ (sin (expm1 a)) 0) into (sin (expm1 a)) 1.062 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.063 * [backup-simplify]: Simplify (+ 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (* 0 1)) into 0 1.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.066 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (* 0 0)) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.069 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.073 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.076 * [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 1.077 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [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 1.082 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.084 * [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 1.085 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.088 * [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 1.089 * [backup-simplify]: Simplify (+ (* (sin (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.091 * [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 1.092 * [backup-simplify]: Simplify (+ (* (cos (expm1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (sin (expm1 a)) into (sin (expm1 a)) 1.093 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.093 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.093 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.093 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.093 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 1.093 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.093 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 1.093 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.093 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.093 * [backup-simplify]: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) 1.093 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.093 * [backup-simplify]: Simplify (cos (expm1 (/ 1 a))) into (cos (expm1 (/ 1 a))) 1.093 * [backup-simplify]: Simplify (* (sin (expm1 (/ 1 a))) 1) into (sin (expm1 (/ 1 a))) 1.093 * [backup-simplify]: Simplify (* (cos (expm1 (/ 1 a))) 0) into 0 1.093 * [backup-simplify]: Simplify (+ (sin (expm1 (/ 1 a))) 0) into (sin (expm1 (/ 1 a))) 1.093 * [backup-simplify]: Simplify (sin (expm1 (/ 1 a))) into (sin (expm1 (/ 1 a))) 1.094 * [backup-simplify]: Simplify (+ 0) into 0 1.094 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (* 0 1)) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.097 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.098 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.099 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.101 * [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 1.102 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.102 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.103 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [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 1.105 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.108 * [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 1.109 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.113 * [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 1.114 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.118 * [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 1.119 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 1.120 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (/ 1 a)))) into (sin (expm1 a)) 1.120 * [backup-simplify]: Simplify (sin (expm1 (/ 1 (- a)))) into (sin (expm1 (/ -1 a))) 1.120 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.120 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.120 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.120 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 1.120 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.120 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 1.120 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.120 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.120 * [backup-simplify]: Simplify (expm1 (/ -1 a)) into (expm1 (/ -1 a)) 1.120 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.121 * [backup-simplify]: Simplify (cos (expm1 (/ -1 a))) into (cos (expm1 (/ -1 a))) 1.121 * [backup-simplify]: Simplify (* (sin (expm1 (/ -1 a))) 1) into (sin (expm1 (/ -1 a))) 1.121 * [backup-simplify]: Simplify (* (cos (expm1 (/ -1 a))) 0) into 0 1.121 * [backup-simplify]: Simplify (+ (sin (expm1 (/ -1 a))) 0) into (sin (expm1 (/ -1 a))) 1.121 * [backup-simplify]: Simplify (sin (expm1 (/ -1 a))) into (sin (expm1 (/ -1 a))) 1.122 * [backup-simplify]: Simplify (+ 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.124 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (* 0 0)) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 1))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (* 0 0))) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [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 1.134 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.135 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [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 1.137 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.138 * [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 1.139 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 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 1.141 * [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 1.142 * [backup-simplify]: Simplify (+ (* (sin (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.144 * [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 1.145 * [backup-simplify]: Simplify (+ (* (cos (expm1 (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (sin (expm1 (/ -1 (/ 1 (- a))))) into (sin (expm1 a)) 1.145 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.145 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.145 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 1.145 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.145 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.145 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 1.145 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.145 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 a))) into (expm1 (sin (expm1 a))) 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.146 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 1.146 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.146 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 a)))) into (expm1 (sin (expm1 (/ 1 a)))) 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (/ 1 a))))) into (expm1 (sin (expm1 a))) 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ 1 (- a))))) into (expm1 (sin (expm1 (/ -1 a)))) 1.146 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 1.146 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.146 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 1.146 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.147 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 a)))) into (expm1 (sin (expm1 (/ -1 a)))) 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) into (expm1 (sin (expm1 a))) 1.147 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.147 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.147 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.147 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.147 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.147 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.147 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.147 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 a))) (atan a)) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.148 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.148 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.148 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) into (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (/ 1 a))))) (atan (/ 1 (/ 1 a)))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.148 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ 1 (- a))))) (atan (/ 1 (- a)))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.148 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.148 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.149 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.149 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.149 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.149 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) into (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (atan2 (expm1 (sin (expm1 (/ -1 (/ 1 (- a)))))) (atan (/ -1 (/ 1 (- a))))) into (atan2 (expm1 (sin (expm1 a))) (atan a)) 1.149 * * * [progress]: simplifying candidates 1.150 * [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)) 1.151 * * [simplify]: Extracting # 0 : cost 0 1.151 * * [simplify]: Extracting # 1 : cost 0 1.151 * * [simplify]: Extracting # 2 : cost 0 1.151 * * [simplify]: Extracting # 3 : cost 0 1.151 * * [simplify]: Extracting # 4 : cost 0 1.151 * * [simplify]: Extracting # 5 : cost 0 1.151 * * [simplify]: iteration 0 : 35 enodes (cost 339 ) 1.158 * * [simplify]: Extracting # 0 : cost 0 1.158 * * [simplify]: iteration 1 : 39 enodes (cost 339 ) 1.170 * * [simplify]: Extracting # 0 : cost 0 1.170 * * [simplify]: Extracting # 1 : cost 0 1.170 * * [simplify]: Extracting # 2 : cost 0 1.170 * * [simplify]: Extracting # 3 : cost 0 1.170 * * [simplify]: iteration 2 : 44 enodes (cost 293 ) 1.177 * * [simplify]: Extracting # 0 : cost 0 1.177 * * [simplify]: Extracting # 1 : cost 0 1.177 * * [simplify]: Extracting # 2 : cost 0 1.177 * * [simplify]: Extracting # 3 : cost 0 1.177 * * [simplify]: Extracting # 4 : cost 0 1.177 * * [simplify]: iteration 3 : 55 enodes (cost 293 ) 1.186 * * [simplify]: Extracting # 0 : cost 0 1.186 * * [simplify]: Extracting # 1 : cost 0 1.186 * * [simplify]: Extracting # 2 : cost 0 1.186 * * [simplify]: Extracting # 3 : cost 0 1.186 * * [simplify]: iteration 4 : 70 enodes (cost 293 ) 1.199 * * [simplify]: Extracting # 0 : cost 0 1.200 * * [simplify]: Extracting # 1 : cost 0 1.200 * * [simplify]: Extracting # 2 : cost 0 1.200 * * [simplify]: Extracting # 3 : cost 0 1.200 * * [simplify]: iteration 5 : 101 enodes (cost 293 ) 1.217 * * [simplify]: Extracting # 0 : cost 0 1.217 * * [simplify]: Extracting # 1 : cost 0 1.217 * * [simplify]: Extracting # 2 : cost 0 1.217 * * [simplify]: Extracting # 3 : cost 0 1.217 * * [simplify]: Extracting # 4 : cost 0 1.218 * * [simplify]: iteration 6 : 176 enodes (cost 293 ) 1.276 * * [simplify]: Extracting # 0 : cost 0 1.277 * * [simplify]: Extracting # 1 : cost 0 1.278 * * [simplify]: Extracting # 2 : cost 0 1.279 * * [simplify]: Extracting # 3 : cost 0 1.279 * * [simplify]: Extracting # 4 : cost 0 1.280 * * [simplify]: iteration 7 : 436 enodes (cost 293 ) 1.651 * * [simplify]: Extracting # 0 : cost 0 1.652 * * [simplify]: Extracting # 1 : cost 0 1.653 * * [simplify]: Extracting # 2 : cost 0 1.654 * * [simplify]: Extracting # 3 : cost 0 1.655 * * [simplify]: Extracting # 4 : cost 0 1.657 * * [simplify]: iteration 8 : 1564 enodes (cost 293 ) 2.627 * * [simplify]: Extracting # 0 : cost 0 2.635 * * [simplify]: Extracting # 1 : cost 0 2.640 * * [simplify]: Extracting # 2 : cost 0 2.651 * * [simplify]: Extracting # 3 : cost 0 2.656 * * [simplify]: Extracting # 4 : cost 0 2.666 * * [simplify]: Extracting # 5 : cost 0 2.676 * * [simplify]: Extracting # 6 : cost 0 2.687 * * [simplify]: iteration done: 5001 enodes (cost 293 ) 2.688 * [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)) 2.688 * * * [progress]: adding candidates to table 2.897 * * [progress]: iteration 2 / 4 2.897 * * * [progress]: picking best candidate 2.957 * * * * [pick]: Picked # 2.957 * * * [progress]: localizing error 2.991 * * * [progress]: generating rewritten candidates 2.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.992 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.992 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.995 * * * [progress]: generating series expansions 2.995 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.995 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.995 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.995 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.995 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.995 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.995 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.995 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.996 * [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)) 2.996 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.996 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.996 * [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)) 2.996 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.996 * [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)) 2.996 * [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)) 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [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) 2.997 * [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)) 2.997 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.997 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.997 * [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)) 2.997 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.997 * [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)) 2.997 * [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)) 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [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) 2.998 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.998 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.998 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.998 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.998 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.998 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.998 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.998 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 2.998 * [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)) 2.998 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.998 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.999 * [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)) 2.999 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.999 * [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)) 2.999 * [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)) 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [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) 2.999 * [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)) 3.000 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.000 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.000 * [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)) 3.000 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.000 * [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)) 3.000 * [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)) 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [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) 3.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 3.001 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.001 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.001 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.001 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.001 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.001 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.001 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.001 * [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)) 3.001 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.001 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.002 * [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)) 3.002 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.002 * [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)) 3.002 * [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)) 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [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) 3.002 * [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)) 3.002 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.002 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.003 * [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)) 3.003 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.003 * [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)) 3.003 * [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)) 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [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) 3.004 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.004 * [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) 3.004 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in (a) around 0 3.004 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.004 * [taylor]: Taking taylor expansion of 1/3 in a 3.004 * [backup-simplify]: Simplify 1/3 into 1/3 3.004 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.004 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.004 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.004 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.004 * [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))) 3.005 * [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) 3.005 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1/3) in a 3.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) in a 3.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) in a 3.005 * [taylor]: Taking taylor expansion of 1/3 in a 3.005 * [backup-simplify]: Simplify 1/3 into 1/3 3.005 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) in a 3.005 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.005 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3.005 * [backup-simplify]: Simplify (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) into (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 3.005 * [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))) 3.005 * [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) 3.005 * [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) 3.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 1)))) 1) into 0 3.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) into 0 3.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.010 * [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 3.010 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))))) into 0 3.011 * [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 3.011 * [backup-simplify]: Simplify 0 into 0 3.013 * [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 3.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)))))) into 0 3.015 * [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 3.015 * [backup-simplify]: Simplify 0 into 0 3.019 * [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 3.020 * [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 3.021 * [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 3.021 * [backup-simplify]: Simplify 0 into 0 3.026 * [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 3.028 * [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 3.030 * [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 3.030 * [backup-simplify]: Simplify 0 into 0 3.040 * [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 3.042 * [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 3.048 * [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 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [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) 3.049 * [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) 3.049 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in (a) around 0 3.049 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.050 * [taylor]: Taking taylor expansion of 1/3 in a 3.050 * [backup-simplify]: Simplify 1/3 into 1/3 3.050 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.050 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.050 * [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)) 3.050 * [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))) 3.051 * [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)))) 3.051 * [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) 3.051 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) 1/3) in a 3.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) in a 3.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))) in a 3.051 * [taylor]: Taking taylor expansion of 1/3 in a 3.051 * [backup-simplify]: Simplify 1/3 into 1/3 3.051 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))) in a 3.051 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.051 * [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)) 3.052 * [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))) 3.052 * [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)))) 3.052 * [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) 3.053 * [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) 3.054 * [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 3.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a))))) into 0 3.056 * [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 3.056 * [backup-simplify]: Simplify 0 into 0 3.059 * [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 3.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)))))) into 0 3.062 * [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 3.062 * [backup-simplify]: Simplify 0 into 0 3.065 * [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 3.067 * [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 3.069 * [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 3.069 * [backup-simplify]: Simplify 0 into 0 3.075 * [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 3.077 * [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 3.080 * [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 3.080 * [backup-simplify]: Simplify 0 into 0 3.087 * [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 3.094 * [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 3.097 * [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 3.097 * [backup-simplify]: Simplify 0 into 0 3.106 * [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 3.107 * [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 3.111 * [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 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [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) 3.111 * [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) 3.111 * [approximate]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in (a) around 0 3.111 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.111 * [taylor]: Taking taylor expansion of 1/3 in a 3.111 * [backup-simplify]: Simplify 1/3 into 1/3 3.111 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.111 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.112 * [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)) 3.112 * [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))) 3.112 * [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)))) 3.112 * [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) 3.112 * [taylor]: Taking taylor expansion of (pow (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) 1/3) in a 3.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) in a 3.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))) in a 3.112 * [taylor]: Taking taylor expansion of 1/3 in a 3.112 * [backup-simplify]: Simplify 1/3 into 1/3 3.112 * [taylor]: Taking taylor expansion of (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))) in a 3.112 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.112 * [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)) 3.113 * [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))) 3.113 * [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)))) 3.113 * [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) 3.113 * [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) 3.114 * [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 3.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a))))) into 0 3.115 * [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 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [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 3.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)))))) into 0 3.118 * [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 3.118 * [backup-simplify]: Simplify 0 into 0 3.120 * [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 3.121 * [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 3.122 * [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 3.122 * [backup-simplify]: Simplify 0 into 0 3.126 * [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 3.127 * [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 3.128 * [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 3.128 * [backup-simplify]: Simplify 0 into 0 3.138 * [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 3.141 * [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 3.145 * [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 3.146 * [backup-simplify]: Simplify 0 into 0 3.162 * [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 3.165 * [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 3.172 * [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 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [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) 3.172 * * * [progress]: simplifying candidates 3.174 * [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) 3.175 * * [simplify]: Extracting # 0 : cost 0 3.175 * * [simplify]: Extracting # 1 : cost 0 3.175 * * [simplify]: Extracting # 2 : cost 0 3.176 * * [simplify]: Extracting # 3 : cost 0 3.176 * * [simplify]: Extracting # 4 : cost 0 3.176 * * [simplify]: Extracting # 5 : cost 0 3.176 * * [simplify]: Extracting # 6 : cost 0 3.176 * * [simplify]: Extracting # 7 : cost 0 3.176 * * [simplify]: Extracting # 8 : cost 0 3.176 * * [simplify]: iteration 0 : 26 enodes (cost 591 ) 3.185 * * [simplify]: Extracting # 0 : cost 0 3.185 * * [simplify]: Extracting # 1 : cost 0 3.185 * * [simplify]: Extracting # 2 : cost 0 3.185 * * [simplify]: Extracting # 3 : cost 0 3.185 * * [simplify]: Extracting # 4 : cost 0 3.185 * * [simplify]: iteration 1 : 35 enodes (cost 587 ) 3.191 * * [simplify]: Extracting # 0 : cost 0 3.191 * * [simplify]: Extracting # 1 : cost 0 3.191 * * [simplify]: Extracting # 2 : cost 0 3.191 * * [simplify]: Extracting # 3 : cost 0 3.191 * * [simplify]: iteration 2 : 63 enodes (cost 473 ) 3.203 * * [simplify]: Extracting # 0 : cost 0 3.203 * * [simplify]: Extracting # 1 : cost 0 3.203 * * [simplify]: Extracting # 2 : cost 0 3.203 * * [simplify]: Extracting # 3 : cost 0 3.203 * * [simplify]: Extracting # 4 : cost 0 3.204 * * [simplify]: iteration 3 : 117 enodes (cost 470 ) 3.250 * * [simplify]: Extracting # 0 : cost 0 3.251 * * [simplify]: Extracting # 1 : cost 0 3.251 * * [simplify]: Extracting # 2 : cost 0 3.251 * * [simplify]: Extracting # 3 : cost 0 3.252 * * [simplify]: Extracting # 4 : cost 0 3.252 * * [simplify]: iteration 4 : 434 enodes (cost 470 ) 4.297 * * [simplify]: Extracting # 0 : cost 0 4.301 * * [simplify]: Extracting # 1 : cost 0 4.304 * * [simplify]: Extracting # 2 : cost 0 4.306 * * [simplify]: Extracting # 3 : cost 0 4.309 * * [simplify]: Extracting # 4 : cost 0 4.312 * * [simplify]: iteration 5 : 2941 enodes (cost 470 ) 7.099 * * [simplify]: Extracting # 0 : cost 0 7.108 * * [simplify]: Extracting # 1 : cost 0 7.119 * * [simplify]: Extracting # 2 : cost 0 7.125 * * [simplify]: Extracting # 3 : cost 0 7.134 * * [simplify]: Extracting # 4 : cost 0 7.140 * * [simplify]: iteration done: 5001 enodes (cost 470 ) 7.140 * [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)) 7.141 * * * [progress]: adding candidates to table 7.388 * * [progress]: iteration 3 / 4 7.388 * * * [progress]: picking best candidate 7.476 * * * * [pick]: Picked # 7.476 * * * [progress]: localizing error 7.533 * * * [progress]: generating rewritten candidates 7.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 7.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 7.533 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 7.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 7.534 * * * [progress]: generating series expansions 7.534 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 7.534 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.534 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.534 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.534 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.534 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.535 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.535 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.535 * [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)) 7.535 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.535 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.535 * [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)) 7.535 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.535 * [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)) 7.536 * [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)) 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [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) 7.536 * [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)) 7.536 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.536 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.536 * [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)) 7.536 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.537 * [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)) 7.537 * [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)) 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [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) 7.537 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 7.537 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.537 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.537 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.537 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.537 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.537 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.538 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.538 * [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)) 7.538 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.538 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.538 * [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)) 7.538 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.538 * [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)) 7.539 * [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)) 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [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) 7.539 * [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)) 7.539 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.539 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.539 * [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)) 7.539 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.539 * [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)) 7.540 * [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)) 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [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) 7.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 7.540 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.540 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.540 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.540 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.540 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.540 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.540 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.540 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.541 * [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)) 7.541 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.541 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.541 * [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)) 7.541 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.541 * [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)) 7.541 * [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)) 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [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) 7.542 * [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)) 7.542 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.542 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.542 * [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)) 7.542 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.542 * [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)) 7.542 * [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)) 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [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) 7.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 7.543 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.543 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 7.543 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.543 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.543 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 7.543 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.543 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 7.544 * [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)) 7.544 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 7.544 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.544 * [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)) 7.544 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 7.544 * [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)) 7.544 * [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)) 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [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) 7.545 * [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)) 7.545 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 7.545 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.545 * [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)) 7.545 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 7.545 * [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)) 7.545 * [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)) 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.546 * [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) 7.546 * * * [progress]: simplifying candidates 7.546 * [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) 7.547 * * [simplify]: Extracting # 0 : cost 0 7.547 * * [simplify]: Extracting # 1 : cost 0 7.547 * * [simplify]: Extracting # 2 : cost 0 7.547 * * [simplify]: Extracting # 3 : cost 0 7.547 * * [simplify]: Extracting # 4 : cost 0 7.547 * * [simplify]: Extracting # 5 : cost 0 7.547 * * [simplify]: Extracting # 6 : cost 0 7.547 * * [simplify]: Extracting # 7 : cost 0 7.547 * * [simplify]: Extracting # 8 : cost 0 7.547 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 7.549 * * [simplify]: Extracting # 0 : cost 0 7.549 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 7.551 * * [simplify]: Extracting # 0 : cost 0 7.551 * * [simplify]: Extracting # 1 : cost 0 7.551 * * [simplify]: Extracting # 2 : cost 0 7.551 * * [simplify]: Extracting # 3 : cost 0 7.551 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 7.554 * * [simplify]: Extracting # 0 : cost 0 7.554 * * [simplify]: Extracting # 1 : cost 0 7.554 * * [simplify]: Extracting # 2 : cost 0 7.554 * * [simplify]: Extracting # 3 : cost 0 7.554 * * [simplify]: Extracting # 4 : cost 0 7.554 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 7.558 * * [simplify]: Extracting # 0 : cost 0 7.558 * * [simplify]: Extracting # 1 : cost 0 7.558 * * [simplify]: Extracting # 2 : cost 0 7.558 * * [simplify]: Extracting # 3 : cost 0 7.558 * * [simplify]: Extracting # 4 : cost 0 7.558 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 7.566 * * [simplify]: Extracting # 0 : cost 0 7.566 * * [simplify]: Extracting # 1 : cost 0 7.566 * * [simplify]: Extracting # 2 : cost 0 7.566 * * [simplify]: Extracting # 3 : cost 0 7.566 * * [simplify]: Extracting # 4 : cost 0 7.566 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 7.571 * * [simplify]: Extracting # 0 : cost 0 7.571 * * [simplify]: Extracting # 1 : cost 0 7.572 * * [simplify]: Extracting # 2 : cost 0 7.572 * * [simplify]: Extracting # 3 : cost 0 7.572 * * [simplify]: Extracting # 4 : cost 0 7.572 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 7.592 * * [simplify]: Extracting # 0 : cost 0 7.592 * * [simplify]: Extracting # 1 : cost 0 7.592 * * [simplify]: Extracting # 2 : cost 0 7.592 * * [simplify]: Extracting # 3 : cost 0 7.592 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 7.700 * * [simplify]: Extracting # 0 : cost 0 7.701 * * [simplify]: Extracting # 1 : cost 0 7.701 * * [simplify]: Extracting # 2 : cost 0 7.702 * * [simplify]: Extracting # 3 : cost 0 7.702 * * [simplify]: Extracting # 4 : cost 0 7.703 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 8.661 * * [simplify]: Extracting # 0 : cost 0 8.664 * * [simplify]: Extracting # 1 : cost 0 8.666 * * [simplify]: Extracting # 2 : cost 0 8.668 * * [simplify]: Extracting # 3 : cost 0 8.670 * * [simplify]: Extracting # 4 : cost 0 8.672 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 9.726 * * [simplify]: Extracting # 0 : cost 0 9.730 * * [simplify]: Extracting # 1 : cost 0 9.745 * * [simplify]: Extracting # 2 : cost 0 9.750 * * [simplify]: Extracting # 3 : cost 0 9.755 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 9.756 * [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) 9.756 * * * [progress]: adding candidates to table 10.012 * * [progress]: iteration 4 / 4 10.013 * * * [progress]: picking best candidate 10.106 * * * * [pick]: Picked # 10.106 * * * [progress]: localizing error 10.164 * * * [progress]: generating rewritten candidates 10.164 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 10.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 2 1) 10.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 1) 10.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1 1 1 1) 10.177 * * * [progress]: generating series expansions 10.177 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 10.177 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.178 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.178 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.178 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.178 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.178 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.178 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.179 * [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)) 10.179 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.179 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.179 * [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)) 10.179 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.180 * [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)) 10.180 * [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)) 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.181 * [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) 10.181 * [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)) 10.181 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.181 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.181 * [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)) 10.182 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.182 * [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)) 10.182 * [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)) 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.183 * [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) 10.183 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 2 1) 10.183 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.183 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.183 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.183 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.183 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.184 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.184 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.185 * [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)) 10.185 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.185 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.185 * [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)) 10.185 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.185 * [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)) 10.186 * [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)) 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [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) 10.187 * [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)) 10.187 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.187 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.188 * [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)) 10.188 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.188 * [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)) 10.188 * [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)) 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.189 * [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) 10.189 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 1) 10.189 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.189 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.189 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.189 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.190 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.190 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.190 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.191 * [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)) 10.191 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.191 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.191 * [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)) 10.191 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.191 * [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)) 10.192 * [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)) 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [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) 10.193 * [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)) 10.193 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.193 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.193 * [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)) 10.193 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.193 * [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)) 10.194 * [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)) 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [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) 10.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1 1 1 1) 10.195 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.195 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 10.195 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.195 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.195 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 10.195 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.195 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.195 * [backup-simplify]: Simplify 0 into 0 10.195 * [backup-simplify]: Simplify 0 into 0 10.195 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) into (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 10.196 * [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)) 10.196 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 10.196 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.196 * [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)) 10.196 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 10.197 * [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)) 10.197 * [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)) 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.198 * [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) 10.198 * [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)) 10.198 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 10.198 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.198 * [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)) 10.198 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 10.199 * [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)) 10.199 * [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)) 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.200 * [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) 10.200 * * * [progress]: simplifying candidates 10.201 * [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) 10.202 * * [simplify]: Extracting # 0 : cost 0 10.202 * * [simplify]: Extracting # 1 : cost 0 10.202 * * [simplify]: Extracting # 2 : cost 0 10.203 * * [simplify]: Extracting # 3 : cost 0 10.203 * * [simplify]: Extracting # 4 : cost 0 10.203 * * [simplify]: Extracting # 5 : cost 0 10.203 * * [simplify]: Extracting # 6 : cost 0 10.203 * * [simplify]: Extracting # 7 : cost 0 10.203 * * [simplify]: Extracting # 8 : cost 0 10.203 * * [simplify]: iteration 0 : 14 enodes (cost 508 ) 10.206 * * [simplify]: Extracting # 0 : cost 0 10.207 * * [simplify]: iteration 1 : 15 enodes (cost 508 ) 10.211 * * [simplify]: Extracting # 0 : cost 0 10.211 * * [simplify]: Extracting # 1 : cost 0 10.211 * * [simplify]: Extracting # 2 : cost 0 10.211 * * [simplify]: Extracting # 3 : cost 0 10.211 * * [simplify]: iteration 2 : 17 enodes (cost 436 ) 10.216 * * [simplify]: Extracting # 0 : cost 0 10.216 * * [simplify]: Extracting # 1 : cost 0 10.216 * * [simplify]: Extracting # 2 : cost 0 10.216 * * [simplify]: Extracting # 3 : cost 0 10.216 * * [simplify]: Extracting # 4 : cost 0 10.216 * * [simplify]: iteration 3 : 22 enodes (cost 436 ) 10.223 * * [simplify]: Extracting # 0 : cost 0 10.223 * * [simplify]: Extracting # 1 : cost 0 10.223 * * [simplify]: Extracting # 2 : cost 0 10.223 * * [simplify]: Extracting # 3 : cost 0 10.223 * * [simplify]: Extracting # 4 : cost 0 10.224 * * [simplify]: iteration 4 : 28 enodes (cost 436 ) 10.228 * * [simplify]: Extracting # 0 : cost 0 10.228 * * [simplify]: Extracting # 1 : cost 0 10.229 * * [simplify]: Extracting # 2 : cost 0 10.229 * * [simplify]: Extracting # 3 : cost 0 10.229 * * [simplify]: Extracting # 4 : cost 0 10.229 * * [simplify]: iteration 5 : 38 enodes (cost 436 ) 10.234 * * [simplify]: Extracting # 0 : cost 0 10.234 * * [simplify]: Extracting # 1 : cost 0 10.235 * * [simplify]: Extracting # 2 : cost 0 10.235 * * [simplify]: Extracting # 3 : cost 0 10.235 * * [simplify]: Extracting # 4 : cost 0 10.235 * * [simplify]: iteration 6 : 59 enodes (cost 436 ) 10.250 * * [simplify]: Extracting # 0 : cost 0 10.250 * * [simplify]: Extracting # 1 : cost 0 10.251 * * [simplify]: Extracting # 2 : cost 0 10.251 * * [simplify]: Extracting # 3 : cost 0 10.251 * * [simplify]: iteration 7 : 125 enodes (cost 436 ) 10.334 * * [simplify]: Extracting # 0 : cost 0 10.334 * * [simplify]: Extracting # 1 : cost 0 10.334 * * [simplify]: Extracting # 2 : cost 0 10.335 * * [simplify]: Extracting # 3 : cost 0 10.335 * * [simplify]: Extracting # 4 : cost 0 10.335 * * [simplify]: iteration 8 : 406 enodes (cost 436 ) 11.194 * * [simplify]: Extracting # 0 : cost 0 11.196 * * [simplify]: Extracting # 1 : cost 0 11.197 * * [simplify]: Extracting # 2 : cost 0 11.198 * * [simplify]: Extracting # 3 : cost 0 11.199 * * [simplify]: Extracting # 4 : cost 0 11.200 * * [simplify]: iteration 9 : 1820 enodes (cost 436 ) 12.354 * * [simplify]: Extracting # 0 : cost 0 12.358 * * [simplify]: Extracting # 1 : cost 0 12.364 * * [simplify]: Extracting # 2 : cost 0 12.373 * * [simplify]: Extracting # 3 : cost 0 12.383 * * [simplify]: iteration done: 5000 enodes (cost 436 ) 12.384 * [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) 12.384 * * * [progress]: adding candidates to table 12.673 * [progress]: [Phase 3 of 3] Extracting. 12.674 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #)