0.843 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 1.238 * * * [progress]: [2/2] Setting up program. 1.244 * [progress]: [Phase 2 of 3] Improving. 1.246 * [simplify]: Simplifying: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.247 * * [simplify]: iteration 0: 7 enodes 1.250 * * [simplify]: iteration 1: 16 enodes 1.252 * * [simplify]: iteration 2: 24 enodes 1.257 * * [simplify]: iteration 3: 44 enodes 1.263 * * [simplify]: iteration 4: 91 enodes 1.294 * * [simplify]: iteration 5: 373 enodes 2.200 * * [simplify]: iteration 6: 3169 enodes 3.866 * * [simplify]: iteration complete: 5000 enodes 3.867 * * [simplify]: Extracting #0: cost 1 inf + 0 3.867 * * [simplify]: Extracting #1: cost 2 inf + 0 3.868 * * [simplify]: Extracting #2: cost 237 inf + 0 3.873 * * [simplify]: Extracting #3: cost 1217 inf + 1 3.881 * * [simplify]: Extracting #4: cost 1482 inf + 25 3.897 * * [simplify]: Extracting #5: cost 1415 inf + 755 3.905 * * [simplify]: Extracting #6: cost 719 inf + 16254 3.913 * * [simplify]: Extracting #7: cost 135 inf + 33961 3.921 * * [simplify]: Extracting #8: cost 0 inf + 38962 3.928 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3.931 * * [progress]: iteration 1 / 4 3.931 * * * [progress]: picking best candidate 3.939 * * * * [pick]: Picked # 3.939 * * * [progress]: localizing error 3.974 * * * [progress]: generating rewritten candidates 3.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.978 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.985 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.989 * * * [progress]: generating series expansions 3.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 3.995 * [backup-simplify]: Simplify (fmod (cosh a) (* a a)) into (fmod (cosh a) (pow a 2)) 3.995 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.997 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.998 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 3.999 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.999 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 3.999 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 4.000 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.000 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 4.000 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 4.001 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.001 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 4.001 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.002 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) into (fmod (cosh a) (pow a 2)) 4.003 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.003 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 4.003 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 4.003 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.003 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 4.004 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.004 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) into (fmod (cosh a) (pow a 2)) 4.005 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.005 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (* a a)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.005 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 4.005 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 4.005 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.005 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 4.006 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.006 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.007 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 4.007 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 4.007 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 4.007 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 4.007 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 4.008 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 4.008 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) (log1p (/ 1 (/ 1 a))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.009 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (log1p (/ 1 (- a))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 4.009 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 4.009 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 4.010 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 4.010 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 4.010 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 4.010 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (log1p (/ -1 (/ 1 (- a)))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4.011 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.012 * [backup-simplify]: Simplify (pow (fmod (cosh a) (* a a)) (log1p a)) into (pow (fmod (cosh a) (pow a 2)) (log1p a)) 4.012 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 4.012 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 4.012 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 4.012 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 4.012 * [taylor]: Taking taylor expansion of (log1p a) in a 4.012 * [taylor]: Rewrote expression to (log (+ 1 a)) 4.012 * [taylor]: Taking taylor expansion of (+ 1 a) in a 4.012 * [taylor]: Taking taylor expansion of 1 in a 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of a in a 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (log 1) into 0 4.014 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 4.014 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 4.014 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 4.015 * [backup-simplify]: Simplify (log (fmod (cosh a) (pow a 2))) into (log (fmod (cosh a) (pow a 2))) 4.015 * [backup-simplify]: Simplify (* 0 (log (fmod (cosh a) (pow a 2)))) into 0 4.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (cosh a) (pow a 2)) 1)))) 1) into 0 4.029 * [backup-simplify]: Simplify (+ 0 1) into 1 4.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (log (fmod (cosh a) (pow a 2))))) into (log (fmod (cosh a) (pow a 2))) 4.032 * [backup-simplify]: Simplify (exp 0) into 1 4.032 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 4.032 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 4.032 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 4.032 * [taylor]: Taking taylor expansion of (log1p a) in a 4.033 * [taylor]: Rewrote expression to (log (+ 1 a)) 4.033 * [taylor]: Taking taylor expansion of (+ 1 a) in a 4.033 * [taylor]: Taking taylor expansion of 1 in a 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [taylor]: Taking taylor expansion of a in a 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (+ 1 0) into 1 4.035 * [backup-simplify]: Simplify (log 1) into 0 4.035 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 4.035 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 4.035 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 4.035 * [backup-simplify]: Simplify (log (fmod (cosh a) (pow a 2))) into (log (fmod (cosh a) (pow a 2))) 4.036 * [backup-simplify]: Simplify (* 0 (log (fmod (cosh a) (pow a 2)))) into 0 4.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (cosh a) (pow a 2)) 1)))) 1) into 0 4.038 * [backup-simplify]: Simplify (+ 0 1) into 1 4.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (log (fmod (cosh a) (pow a 2))))) into (log (fmod (cosh a) (pow a 2))) 4.040 * [backup-simplify]: Simplify (exp 0) into 1 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (log (fmod (cosh a) (pow a 2))) 1) 1)))) into (log (fmod (cosh a) (pow a 2))) 4.042 * [backup-simplify]: Simplify (log (fmod (cosh a) (pow a 2))) into (log (fmod (cosh a) (pow a 2))) 4.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (cosh a) (pow a 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (cosh a) (pow a 2)) 1)))) 2) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* -1/2 (log (fmod (cosh a) (pow a 2)))))) into (- (* 1/2 (log (fmod (cosh a) (pow a 2))))) 4.055 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (log (fmod (cosh a) (pow a 2))) 2) 2)) (* (/ (pow (- (* 1/2 (log (fmod (cosh a) (pow a 2))))) 1) 1)))) into (- (* 1/2 (pow (log (fmod (cosh a) (pow a 2))) 2)) (* 1/2 (log (fmod (cosh a) (pow a 2))))) 4.056 * [backup-simplify]: Simplify (- (* 1/2 (pow (log (fmod (cosh a) (pow a 2))) 2)) (* 1/2 (log (fmod (cosh a) (pow a 2))))) into (- (* 1/2 (pow (log (fmod (cosh a) (pow a 2))) 2)) (* 1/2 (log (fmod (cosh a) (pow a 2))))) 4.057 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (pow (log (fmod (cosh a) (pow a 2))) 2)) (* 1/2 (log (fmod (cosh a) (pow a 2))))) (pow a 2)) (+ (* (log (fmod (cosh a) (pow a 2))) a) 1)) into (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) 4.058 * [backup-simplify]: Simplify (pow (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) (log1p (/ 1 a))) into (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) 4.058 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 4.058 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 4.058 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 4.058 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 4.058 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 4.058 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 4.058 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 4.058 * [taylor]: Taking taylor expansion of 1 in a 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.058 * [taylor]: Taking taylor expansion of a in a 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (/ 1 1) into 1 4.060 * [backup-simplify]: Simplify (+ 0 1) into 1 4.060 * [backup-simplify]: Simplify (log 1) into 0 4.060 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 4.060 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 4.060 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.061 * [backup-simplify]: Simplify (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) into (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 4.062 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 4.062 * [backup-simplify]: Simplify (* (- (log a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) into (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a))) 4.062 * [backup-simplify]: Simplify (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) into (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) 4.062 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 4.062 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 4.062 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 4.063 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 4.063 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 4.063 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 4.063 * [taylor]: Taking taylor expansion of 1 in a 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.063 * [taylor]: Taking taylor expansion of a in a 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (+ 0 1) into 1 4.064 * [backup-simplify]: Simplify (log 1) into 0 4.064 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 4.064 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 4.064 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 4.065 * [backup-simplify]: Simplify (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) into (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 4.065 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 4.065 * [backup-simplify]: Simplify (* (- (log a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) into (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a))) 4.066 * [backup-simplify]: Simplify (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) into (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) 4.066 * [backup-simplify]: Simplify (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) into (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) 4.067 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 4.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 1)))) 1) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ 1 0) into 1 4.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.071 * [backup-simplify]: Simplify (+ (* (- (log a)) 0) (* 1 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) into (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 4.072 * [backup-simplify]: Simplify (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (+ (* (/ (pow (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 1) 1)))) into (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) 4.072 * [backup-simplify]: Simplify (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) into (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 4.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 1)))) 2) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.081 * [backup-simplify]: Simplify (+ (* (- (log a)) 0) (+ (* 1 0) (* -1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))))) into (- (* 1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) 4.082 * [backup-simplify]: Simplify (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (+ (* (/ (pow (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 2) 2)) (* (/ (pow (- (* 1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) 1) 1)))) into (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (- (* 1/2 (pow (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))))) 4.083 * [backup-simplify]: Simplify (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (- (* 1/2 (pow (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))))) into (* (exp (* -1 (* (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) (log a)))) (- (* 1/2 (pow (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))))) 4.086 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2)))) (log (/ 1 a))))) (- (* 1/2 (pow (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2)))) 2)) (* 1/2 (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))))))) (pow (/ 1 a) 2)) (+ (* (* (exp (* -1 (* (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2)))) (log (/ 1 a))))) (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))))) (/ 1 a)) (exp (* -1 (* (log (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2)))) (log (/ 1 a))))))) into (- (+ (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a))))) (+ (/ (* (log (fmod (cosh a) (pow a 2))) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) a) (* 1/2 (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) (pow a 2))))) (* 1/2 (/ (* (log (fmod (cosh a) (pow a 2))) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) (pow a 2)))) 4.087 * [backup-simplify]: Simplify (pow (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (log1p (/ 1 (- a)))) into (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) 4.087 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 4.087 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 4.087 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 4.087 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 4.087 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 4.087 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 4.087 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 4.087 * [taylor]: Taking taylor expansion of 1 in a 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of (/ -1 a) in a 4.087 * [taylor]: Taking taylor expansion of -1 in a 4.087 * [backup-simplify]: Simplify -1 into -1 4.087 * [taylor]: Taking taylor expansion of a in a 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ -1 1) into -1 4.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.089 * [backup-simplify]: Simplify (log -1) into (log -1) 4.089 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 4.089 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 4.089 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.090 * [backup-simplify]: Simplify (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) into (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) 4.090 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 4.091 * [backup-simplify]: Simplify (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) into (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) 4.092 * [backup-simplify]: Simplify (exp (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) into (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) 4.092 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 4.092 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 4.092 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 4.092 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 4.092 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 4.092 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 4.092 * [taylor]: Taking taylor expansion of 1 in a 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of (/ -1 a) in a 4.092 * [taylor]: Taking taylor expansion of -1 in a 4.092 * [backup-simplify]: Simplify -1 into -1 4.092 * [taylor]: Taking taylor expansion of a in a 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (/ -1 1) into -1 4.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.094 * [backup-simplify]: Simplify (log -1) into (log -1) 4.094 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 4.094 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 4.094 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 4.094 * [backup-simplify]: Simplify (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) into (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) 4.095 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 4.096 * [backup-simplify]: Simplify (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) into (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) 4.096 * [backup-simplify]: Simplify (exp (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) into (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) 4.097 * [backup-simplify]: Simplify (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) into (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) 4.098 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 4.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 1)))) 1) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ 1 0) into 1 4.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.103 * [backup-simplify]: Simplify (+ (* (- (log -1) (log a)) 0) (* -1 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) into (- (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) 4.104 * [backup-simplify]: Simplify (* (exp (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) (+ (* (/ (pow (- (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) 1) 1)))) into (* -1 (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) 4.105 * [backup-simplify]: Simplify (* -1 (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) into (* -1 (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) 4.107 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 4.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 1)))) 2) into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.114 * [backup-simplify]: Simplify (+ (* (- (log -1) (log a)) 0) (+ (* -1 0) (* -1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))))) into (- (* 1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) 4.116 * [backup-simplify]: Simplify (* (exp (* (- (log -1) (log a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) (+ (* (/ (pow (- (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) 2) 2)) (* (/ (pow (- (* 1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) 1) 1)))) into (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (- (* 1/2 (pow (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))))) 4.118 * [backup-simplify]: Simplify (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (- (* 1/2 (pow (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))))) into (* (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (- (log -1) (log a))) (- (* 1/2 (pow (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) 2)) (* 1/2 (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))))) 4.123 * [backup-simplify]: Simplify (+ (* (* (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (- (log -1) (log (/ 1 (- a))))) (- (* 1/2 (pow (log (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2)))) 2)) (* 1/2 (log (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))))))) (pow (/ 1 (- a)) 2)) (+ (* (* -1 (* (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (- (log -1) (log (/ 1 (- a))))) (log (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2)))))) (/ 1 (- a))) (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (- (log -1) (log (/ 1 (- a))))))) into (- (+ (/ (* (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) a) (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (* 1/2 (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) (pow a 2))))) (* 1/2 (/ (* (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) (pow a 2)))) 4.123 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.123 * [backup-simplify]: Simplify (log1p a) into (log1p a) 4.123 * [approximate]: Taking taylor expansion of (log1p a) in (a) around 0 4.123 * [taylor]: Taking taylor expansion of (log1p a) in a 4.123 * [taylor]: Rewrote expression to (log (+ 1 a)) 4.123 * [taylor]: Taking taylor expansion of (+ 1 a) in a 4.123 * [taylor]: Taking taylor expansion of 1 in a 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [taylor]: Taking taylor expansion of a in a 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (+ 1 0) into 1 4.124 * [backup-simplify]: Simplify (log 1) into 0 4.124 * [taylor]: Taking taylor expansion of (log1p a) in a 4.124 * [taylor]: Rewrote expression to (log (+ 1 a)) 4.124 * [taylor]: Taking taylor expansion of (+ 1 a) in a 4.124 * [taylor]: Taking taylor expansion of 1 in a 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of a in a 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (+ 1 0) into 1 4.125 * [backup-simplify]: Simplify (log 1) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (+ 0 1) into 1 4.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.130 * [backup-simplify]: Simplify -1/2 into -1/2 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.136 * [backup-simplify]: Simplify 1/3 into 1/3 4.137 * [backup-simplify]: Simplify (+ (* 1/3 (pow a 3)) (+ (* -1/2 (pow a 2)) (* 1 a))) into (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) 4.137 * [backup-simplify]: Simplify (log1p (/ 1 a)) into (log1p (/ 1 a)) 4.137 * [approximate]: Taking taylor expansion of (log1p (/ 1 a)) in (a) around 0 4.137 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 4.138 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 4.138 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 4.138 * [taylor]: Taking taylor expansion of 1 in a 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.138 * [taylor]: Taking taylor expansion of a in a 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.139 * [backup-simplify]: Simplify (+ 0 1) into 1 4.139 * [backup-simplify]: Simplify (log 1) into 0 4.139 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 4.139 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 4.139 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 4.139 * [taylor]: Taking taylor expansion of 1 in a 4.139 * [backup-simplify]: Simplify 1 into 1 4.139 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.139 * [taylor]: Taking taylor expansion of a in a 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [backup-simplify]: Simplify (+ 0 1) into 1 4.141 * [backup-simplify]: Simplify (log 1) into 0 4.141 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 4.141 * [backup-simplify]: Simplify (- (log a)) into (- (log a)) 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ 1 0) into 1 4.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.148 * [backup-simplify]: Simplify -1/2 into -1/2 4.149 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 a) 2)) (+ (* 1 (/ 1 a)) (- (log (/ 1 a))))) into (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) 4.149 * [backup-simplify]: Simplify (log1p (/ 1 (- a))) into (log1p (/ -1 a)) 4.149 * [approximate]: Taking taylor expansion of (log1p (/ -1 a)) in (a) around 0 4.149 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 4.149 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 4.149 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 4.149 * [taylor]: Taking taylor expansion of 1 in a 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (/ -1 a) in a 4.149 * [taylor]: Taking taylor expansion of -1 in a 4.149 * [backup-simplify]: Simplify -1 into -1 4.149 * [taylor]: Taking taylor expansion of a in a 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (/ -1 1) into -1 4.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.151 * [backup-simplify]: Simplify (log -1) into (log -1) 4.151 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 4.151 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 4.151 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 4.151 * [taylor]: Taking taylor expansion of 1 in a 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of (/ -1 a) in a 4.151 * [taylor]: Taking taylor expansion of -1 in a 4.151 * [backup-simplify]: Simplify -1 into -1 4.151 * [taylor]: Taking taylor expansion of a in a 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ -1 1) into -1 4.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.153 * [backup-simplify]: Simplify (log -1) into (log -1) 4.154 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 4.154 * [backup-simplify]: Simplify (- (log -1) (log a)) into (- (log -1) (log a)) 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ 1 0) into 1 4.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.157 * [backup-simplify]: Simplify -1 into -1 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.162 * [backup-simplify]: Simplify -1/2 into -1/2 4.163 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- a)) 2)) (+ (* -1 (/ 1 (- a))) (- (log -1) (log (/ 1 (- a)))))) into (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) 4.163 * * * [progress]: simplifying candidates 4.165 * [simplify]: Simplifying: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (pow (fmod (cosh a) (* a a)) (log1p a))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (pow (fmod (cosh a) (* a a)) 1) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (* (* (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (+ 1 a) (expm1 (log1p a)) (log1p (log1p a)) (log (log1p a)) (exp (log1p a)) (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)) (* (* (log1p a) (log1p a)) (log1p a)) (sqrt (log1p a)) (sqrt (log1p a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) (- (+ (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a))))) (+ (/ (* (log (fmod (cosh a) (pow a 2))) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) a) (* 1/2 (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) (pow a 2))))) (* 1/2 (/ (* (log (fmod (cosh a) (pow a 2))) (exp (* -1 (* (log (fmod (cosh a) (pow a 2))) (log (/ 1 a)))))) (pow a 2)))) (- (+ (/ (* (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) a) (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (* 1/2 (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) (pow a 2))))) (* 1/2 (/ (* (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a))))) (pow a 2)))) (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) 4.167 * * [simplify]: iteration 0: 120 enodes 4.197 * * [simplify]: iteration 1: 311 enodes 4.321 * * [simplify]: iteration 2: 1268 enodes 4.732 * * [simplify]: iteration complete: 5001 enodes 4.732 * * [simplify]: Extracting #0: cost 52 inf + 0 4.733 * * [simplify]: Extracting #1: cost 630 inf + 23 4.738 * * [simplify]: Extracting #2: cost 1458 inf + 1031 4.744 * * [simplify]: Extracting #3: cost 1261 inf + 5592 4.752 * * [simplify]: Extracting #4: cost 433 inf + 18184 4.759 * * [simplify]: Extracting #5: cost 98 inf + 24785 4.772 * * [simplify]: Extracting #6: cost 7 inf + 26785 4.782 * * [simplify]: Extracting #7: cost 0 inf + 26931 4.796 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (pow (fmod (cosh a) (* a a)) (log1p a))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (log1p a) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (fmod (cosh a) (* a a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (pow (fmod (cosh a) (* a a)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (+ a 1) a (log1p (log1p a)) (log (log1p a)) (exp (log1p a)) (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)) (pow (log1p a) 3) (sqrt (log1p a)) (sqrt (log1p a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (+ (fma (pow (log (fmod (cosh a) (* a a))) 2) (* (* a a) 1/2) 1) (* (log (fmod (cosh a) (* a a))) (- a (* (* a a) 1/2)))) (fma (* (/ (log (fmod (cosh a) (* a a))) a) (/ (pow (fmod (cosh a) (* a a)) (log a)) a)) -1/2 (fma (/ 1/2 a) (/ (* (pow (fmod (cosh a) (* a a)) (log a)) (pow (log (fmod (cosh a) (* a a))) 2)) a) (* (+ (/ (log (fmod (cosh a) (* a a))) a) 1) (pow (fmod (cosh a) (* a a)) (log a))))) (- (fma 1/2 (* (/ (pow (log (fmod (cosh a) (* a a))) 2) a) (/ (pow (fmod (cosh a) (* a a)) (+ 0 (log a))) a)) (* (+ (/ (log (fmod (cosh a) (* a a))) a) 1) (pow (fmod (cosh a) (* a a)) (+ 0 (log a))))) (/ (/ (* (log (sqrt (fmod (cosh a) (* a a)))) (pow (fmod (cosh a) (* a a)) (+ 0 (log a)))) a) a)) (fma -1/2 (* a a) (fma (pow a 3) 1/3 a)) (- (/ 1 a) (- (/ 1/2 (* a a)) (log a))) (- (+ (/ 1 a) (+ 0 (log a))) (/ 1/2 (* a a))) 4.796 * * * [progress]: adding candidates to table 5.154 * * [progress]: iteration 2 / 4 5.154 * * * [progress]: picking best candidate 5.223 * * * * [pick]: Picked # 5.223 * * * [progress]: localizing error 5.263 * * * [progress]: generating rewritten candidates 5.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.273 * * * [progress]: generating series expansions 5.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.274 * [backup-simplify]: Simplify (fmod (cosh a) (* a a)) into (fmod (cosh a) (pow a 2)) 5.274 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 5.274 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.274 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 5.274 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.274 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 5.274 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 5.275 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 5.275 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 5.275 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.275 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 5.275 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.275 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 5.276 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) into (fmod (cosh a) (pow a 2)) 5.276 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 5.276 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 5.276 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.277 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 5.277 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.277 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 5.277 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) into (fmod (cosh a) (pow a 2)) 5.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.278 * [backup-simplify]: Simplify (log (exp (log1p a))) into (log1p a) 5.278 * [approximate]: Taking taylor expansion of (log1p a) in (a) around 0 5.278 * [taylor]: Taking taylor expansion of (log1p a) in a 5.278 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.278 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.278 * [taylor]: Taking taylor expansion of 1 in a 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of a in a 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (+ 1 0) into 1 5.279 * [backup-simplify]: Simplify (log 1) into 0 5.279 * [taylor]: Taking taylor expansion of (log1p a) in a 5.279 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.279 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.279 * [taylor]: Taking taylor expansion of 1 in a 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [taylor]: Taking taylor expansion of a in a 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (+ 1 0) into 1 5.280 * [backup-simplify]: Simplify (log 1) into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify (+ 0 1) into 1 5.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.282 * [backup-simplify]: Simplify 1 into 1 5.283 * [backup-simplify]: Simplify (+ 0 0) into 0 5.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.285 * [backup-simplify]: Simplify -1/2 into -1/2 5.286 * [backup-simplify]: Simplify (+ 0 0) into 0 5.291 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.291 * [backup-simplify]: Simplify 1/3 into 1/3 5.291 * [backup-simplify]: Simplify (+ (* 1/3 (pow a 3)) (+ (* -1/2 (pow a 2)) (* 1 a))) into (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) 5.292 * [backup-simplify]: Simplify (log (exp (log1p (/ 1 a)))) into (log1p (/ 1 a)) 5.292 * [approximate]: Taking taylor expansion of (log1p (/ 1 a)) in (a) around 0 5.292 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.292 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.292 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.292 * [taylor]: Taking taylor expansion of 1 in a 5.292 * [backup-simplify]: Simplify 1 into 1 5.292 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.292 * [taylor]: Taking taylor expansion of a in a 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [backup-simplify]: Simplify (+ 0 1) into 1 5.293 * [backup-simplify]: Simplify (log 1) into 0 5.293 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.293 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.294 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.294 * [taylor]: Taking taylor expansion of 1 in a 5.294 * [backup-simplify]: Simplify 1 into 1 5.294 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.294 * [taylor]: Taking taylor expansion of a in a 5.294 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify 1 into 1 5.294 * [backup-simplify]: Simplify (/ 1 1) into 1 5.295 * [backup-simplify]: Simplify (+ 0 1) into 1 5.295 * [backup-simplify]: Simplify (log 1) into 0 5.295 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.296 * [backup-simplify]: Simplify (- (log a)) into (- (log a)) 5.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ 1 0) into 1 5.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.298 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.302 * [backup-simplify]: Simplify -1/2 into -1/2 5.303 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 a) 2)) (+ (* 1 (/ 1 a)) (- (log (/ 1 a))))) into (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) 5.303 * [backup-simplify]: Simplify (log (exp (log1p (/ 1 (- a))))) into (log1p (/ -1 a)) 5.303 * [approximate]: Taking taylor expansion of (log1p (/ -1 a)) in (a) around 0 5.303 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.303 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.303 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.303 * [taylor]: Taking taylor expansion of 1 in a 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.303 * [taylor]: Taking taylor expansion of -1 in a 5.303 * [backup-simplify]: Simplify -1 into -1 5.304 * [taylor]: Taking taylor expansion of a in a 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (/ -1 1) into -1 5.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.305 * [backup-simplify]: Simplify (log -1) into (log -1) 5.305 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.305 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.305 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.305 * [taylor]: Taking taylor expansion of 1 in a 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.305 * [taylor]: Taking taylor expansion of -1 in a 5.305 * [backup-simplify]: Simplify -1 into -1 5.305 * [taylor]: Taking taylor expansion of a in a 5.305 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ -1 1) into -1 5.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.307 * [backup-simplify]: Simplify (log -1) into (log -1) 5.308 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.309 * [backup-simplify]: Simplify (- (log -1) (log a)) into (- (log -1) (log a)) 5.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.311 * [backup-simplify]: Simplify -1 into -1 5.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (+ 0 0) into 0 5.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.316 * [backup-simplify]: Simplify -1/2 into -1/2 5.317 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- a)) 2)) (+ (* -1 (/ 1 (- a))) (- (log -1) (log (/ 1 (- a)))))) into (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) 5.317 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.317 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.317 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 5.317 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.317 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.318 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.318 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.318 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.319 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) (log (exp (log1p (/ 1 a)))))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 5.319 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 5.319 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.320 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 5.320 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.320 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 5.320 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) (log1p (/ 1 (/ 1 a))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.322 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (log (exp (log1p (/ 1 (- a))))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 5.322 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 5.322 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.322 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 5.322 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.322 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 5.323 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (log1p (/ -1 (/ 1 (- a)))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 5.324 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.324 * [backup-simplify]: Simplify (exp (log1p a)) into (exp (log1p a)) 5.324 * [approximate]: Taking taylor expansion of (exp (log1p a)) in (a) around 0 5.324 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 5.324 * [taylor]: Taking taylor expansion of (log1p a) in a 5.324 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.324 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.324 * [taylor]: Taking taylor expansion of 1 in a 5.324 * [backup-simplify]: Simplify 1 into 1 5.324 * [taylor]: Taking taylor expansion of a in a 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify 1 into 1 5.325 * [backup-simplify]: Simplify (+ 1 0) into 1 5.325 * [backup-simplify]: Simplify (log 1) into 0 5.326 * [backup-simplify]: Simplify (+ 0 1) into 1 5.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.327 * [backup-simplify]: Simplify (exp 0) into 1 5.327 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 5.327 * [taylor]: Taking taylor expansion of (log1p a) in a 5.327 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.327 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.327 * [taylor]: Taking taylor expansion of 1 in a 5.327 * [backup-simplify]: Simplify 1 into 1 5.327 * [taylor]: Taking taylor expansion of a in a 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 1 into 1 5.328 * [backup-simplify]: Simplify (+ 1 0) into 1 5.328 * [backup-simplify]: Simplify (log 1) into 0 5.329 * [backup-simplify]: Simplify (+ 0 1) into 1 5.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.330 * [backup-simplify]: Simplify (exp 0) into 1 5.330 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (+ 0 0) into 0 5.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.334 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (+ 0 0) into 0 5.337 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.339 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 5.339 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 5.354 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 5.369 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 5.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (+ 0 0) into 0 5.448 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 5.462 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify (+ (* 1 a) 1) into (+ a 1) 5.462 * [backup-simplify]: Simplify (exp (log1p (/ 1 a))) into (exp (log1p (/ 1 a))) 5.462 * [approximate]: Taking taylor expansion of (exp (log1p (/ 1 a))) in (a) around 0 5.462 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 5.462 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.463 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.463 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.463 * [taylor]: Taking taylor expansion of 1 in a 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.463 * [taylor]: Taking taylor expansion of a in a 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ 1 1) into 1 5.463 * [backup-simplify]: Simplify (+ 0 1) into 1 5.464 * [backup-simplify]: Simplify (log 1) into 0 5.464 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.464 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.464 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 5.464 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 5.464 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.464 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.465 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.465 * [taylor]: Taking taylor expansion of 1 in a 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.465 * [taylor]: Taking taylor expansion of a in a 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [backup-simplify]: Simplify (+ 0 1) into 1 5.465 * [backup-simplify]: Simplify (log 1) into 0 5.466 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.466 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.466 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 5.466 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 5.466 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ 1 0) into 1 5.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.468 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log a))) 5.469 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 5.469 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.472 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 5.472 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.480 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 5.499 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 5.499 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.501 * [backup-simplify]: Simplify (+ 0 0) into 0 5.514 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 5.519 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 5.519 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.538 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 5.546 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 5.587 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (+ (* (exp (- (log (/ 1 a)))) (/ 1 a)) (exp (- (log (/ 1 a))))) into (+ (exp (- (log (/ 1 a)))) (/ (exp (- (log (/ 1 a)))) a)) 5.587 * [backup-simplify]: Simplify (exp (log1p (/ 1 (- a)))) into (exp (log1p (/ -1 a))) 5.588 * [approximate]: Taking taylor expansion of (exp (log1p (/ -1 a))) in (a) around 0 5.588 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 5.588 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.588 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.588 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.588 * [taylor]: Taking taylor expansion of 1 in a 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.588 * [taylor]: Taking taylor expansion of -1 in a 5.588 * [backup-simplify]: Simplify -1 into -1 5.588 * [taylor]: Taking taylor expansion of a in a 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ -1 1) into -1 5.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.589 * [backup-simplify]: Simplify (log -1) into (log -1) 5.590 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.591 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.591 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 5.591 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 5.592 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.592 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.592 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.592 * [taylor]: Taking taylor expansion of 1 in a 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.592 * [taylor]: Taking taylor expansion of -1 in a 5.592 * [backup-simplify]: Simplify -1 into -1 5.592 * [taylor]: Taking taylor expansion of a in a 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (/ -1 1) into -1 5.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.593 * [backup-simplify]: Simplify (log -1) into (log -1) 5.594 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.595 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.595 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 5.596 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 5.597 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (+ 1 0) into 1 5.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.601 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log a)))) 5.601 * [backup-simplify]: Simplify (* -1 (exp (- (log -1) (log a)))) into (* -1 (exp (- (log -1) (log a)))) 5.602 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.609 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 5.621 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -1/3 1) 1)))) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/4 5.641 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into -1/5 5.664 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/5 1) 1)))) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.688 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into -1/6 5.696 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow -1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 5.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.727 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into -1/7 5.749 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow -1 4) 24) (/ (pow -1/3 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow -1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/5 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/7 1) 1)))) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify (+ (* (* -1 (exp (- (log -1) (log (/ 1 (- a)))))) (/ 1 (- a))) (exp (- (log -1) (log (/ 1 (- a)))))) into (+ (exp (- (log -1) (log (/ -1 a)))) (/ (exp (- (log -1) (log (/ -1 a)))) a)) 5.751 * * * [progress]: simplifying candidates 5.752 * [simplify]: Simplifying: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (exp (log1p a)))) (log1p (log (exp (log1p a)))) (log (* (cbrt (exp (log1p a))) (cbrt (exp (log1p a))))) (log (cbrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))) (log 1) (log (exp (log1p a))) (log (exp (log1p a))) (log (exp (* (cbrt (log1p a)) (cbrt (log1p a))))) (log (exp (sqrt (log1p a)))) (log (exp 1)) (log (log (exp (log1p a)))) (exp (log (exp (log1p a)))) (* (cbrt (log (exp (log1p a)))) (cbrt (log (exp (log1p a))))) (cbrt (log (exp (log1p a)))) (* (* (log (exp (log1p a))) (log (exp (log1p a)))) (log (exp (log1p a)))) (sqrt (log (exp (log1p a)))) (sqrt (log (exp (log1p a)))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log (exp (log1p a))))) (log (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (exp (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a))))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a))))) (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))) (expm1 (exp (log1p a))) (log1p (exp (log1p a))) (exp (* (cbrt (log1p a)) (cbrt (log1p a)))) (exp (sqrt (log1p a))) (exp 1) (log (exp (log1p a))) (exp (exp (log1p a))) (* (cbrt (exp (log1p a))) (cbrt (exp (log1p a)))) (cbrt (exp (log1p a))) (* (* (exp (log1p a)) (exp (log1p a))) (exp (log1p a))) (sqrt (exp (log1p a))) (sqrt (exp (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ a 1) (+ (exp (- (log (/ 1 a)))) (/ (exp (- (log (/ 1 a)))) a)) (+ (exp (- (log -1) (log (/ -1 a)))) (/ (exp (- (log -1) (log (/ -1 a)))) a)) 5.754 * * [simplify]: iteration 0: 96 enodes 5.777 * * [simplify]: iteration 1: 176 enodes 5.818 * * [simplify]: iteration 2: 415 enodes 6.011 * * [simplify]: iteration 3: 1304 enodes 6.843 * * [simplify]: iteration complete: 5000 enodes 6.843 * * [simplify]: Extracting #0: cost 47 inf + 0 6.845 * * [simplify]: Extracting #1: cost 514 inf + 12 6.849 * * [simplify]: Extracting #2: cost 1291 inf + 957 6.855 * * [simplify]: Extracting #3: cost 396 inf + 7538 6.864 * * [simplify]: Extracting #4: cost 122 inf + 9809 6.880 * * [simplify]: Extracting #5: cost 29 inf + 10531 6.890 * * [simplify]: Extracting #6: cost 2 inf + 10769 6.897 * * [simplify]: Extracting #7: cost 0 inf + 10807 6.903 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) a (log1p (log1p a)) (* 2 (log (cbrt (exp (log1p a))))) (log (cbrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))) 0 (log1p a) (log1p a) (* (cbrt (log1p a)) (cbrt (log1p a))) (sqrt (log1p a)) 1 (log (log1p a)) (exp (log1p a)) (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)) (pow (log1p a) 3) (sqrt (log1p a)) (sqrt (log1p a)) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (expm1 (exp (log1p a))) (log1p (exp (log1p a))) (pow (exp (cbrt (log1p a))) (cbrt (log1p a))) (exp (sqrt (log1p a))) E (log1p a) (exp (exp (log1p a))) (* (cbrt (exp (log1p a))) (cbrt (exp (log1p a)))) (cbrt (exp (log1p a))) (pow (exp (log1p a)) 3) (sqrt (exp (log1p a))) (sqrt (exp (log1p a))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fma (* a a) (fma 1/3 a -1/2) a) (+ (- (/ 1 a) (/ 1/2 (* a a))) (log a)) (+ (- (/ 1 a) (/ 1/2 (* a a))) (log a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (+ 1 a) (+ 1 a) (+ 1 a) 6.903 * * * [progress]: adding candidates to table 7.231 * * [progress]: iteration 3 / 4 7.231 * * * [progress]: picking best candidate 7.282 * * * * [pick]: Picked # 7.282 * * * [progress]: localizing error 7.311 * * * [progress]: generating rewritten candidates 7.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 7.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 7.319 * * * [progress]: generating series expansions 7.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 7.320 * [backup-simplify]: Simplify (fmod (cosh a) (* a a)) into (fmod (cosh a) (pow a 2)) 7.320 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 7.320 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.320 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.320 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.320 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.320 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.321 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.321 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 7.321 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.321 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.321 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.322 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.322 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) into (fmod (cosh a) (pow a 2)) 7.323 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.323 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 7.323 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.323 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.323 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.323 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.323 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) into (fmod (cosh a) (pow a 2)) 7.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.324 * [backup-simplify]: Simplify (log (exp (fmod (cosh a) (* a a)))) into (fmod (cosh a) (pow a 2)) 7.324 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 7.324 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.324 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.324 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.324 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.324 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 7.324 * [backup-simplify]: Simplify (log (exp (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.324 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 7.324 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.324 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.325 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.325 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.325 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) into (fmod (cosh a) (pow a 2)) 7.325 * [backup-simplify]: Simplify (log (exp (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.325 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 7.325 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.325 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.325 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.326 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.326 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) into (fmod (cosh a) (pow a 2)) 7.326 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.326 * [backup-simplify]: Simplify (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.326 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 7.326 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 7.326 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.326 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 7.327 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.327 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.327 * [backup-simplify]: Simplify (acos (pow (log (exp (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 7.327 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 7.327 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 7.328 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 7.328 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 7.328 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 7.328 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) (log1p (/ 1 (/ 1 a))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.329 * [backup-simplify]: Simplify (acos (pow (log (exp (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))))) (log1p (/ 1 (- a))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 7.329 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 7.329 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 7.329 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 7.329 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 7.329 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 7.329 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (log1p (/ -1 (/ 1 (- a)))))) into (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 7.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.330 * [backup-simplify]: Simplify (log1p a) into (log1p a) 7.330 * [approximate]: Taking taylor expansion of (log1p a) in (a) around 0 7.330 * [taylor]: Taking taylor expansion of (log1p a) in a 7.330 * [taylor]: Rewrote expression to (log (+ 1 a)) 7.330 * [taylor]: Taking taylor expansion of (+ 1 a) in a 7.330 * [taylor]: Taking taylor expansion of 1 in a 7.330 * [backup-simplify]: Simplify 1 into 1 7.330 * [taylor]: Taking taylor expansion of a in a 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (+ 1 0) into 1 7.331 * [backup-simplify]: Simplify (log 1) into 0 7.331 * [taylor]: Taking taylor expansion of (log1p a) in a 7.331 * [taylor]: Rewrote expression to (log (+ 1 a)) 7.331 * [taylor]: Taking taylor expansion of (+ 1 a) in a 7.331 * [taylor]: Taking taylor expansion of 1 in a 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [taylor]: Taking taylor expansion of a in a 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (+ 1 0) into 1 7.332 * [backup-simplify]: Simplify (log 1) into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (+ 0 1) into 1 7.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (+ 0 0) into 0 7.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.335 * [backup-simplify]: Simplify -1/2 into -1/2 7.335 * [backup-simplify]: Simplify (+ 0 0) into 0 7.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 7.338 * [backup-simplify]: Simplify 1/3 into 1/3 7.338 * [backup-simplify]: Simplify (+ (* 1/3 (pow a 3)) (+ (* -1/2 (pow a 2)) (* 1 a))) into (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) 7.338 * [backup-simplify]: Simplify (log1p (/ 1 a)) into (log1p (/ 1 a)) 7.338 * [approximate]: Taking taylor expansion of (log1p (/ 1 a)) in (a) around 0 7.338 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 7.338 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 7.338 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 7.338 * [taylor]: Taking taylor expansion of 1 in a 7.338 * [backup-simplify]: Simplify 1 into 1 7.338 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.338 * [taylor]: Taking taylor expansion of a in a 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (/ 1 1) into 1 7.339 * [backup-simplify]: Simplify (+ 0 1) into 1 7.339 * [backup-simplify]: Simplify (log 1) into 0 7.339 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 7.339 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 7.339 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 7.339 * [taylor]: Taking taylor expansion of 1 in a 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.339 * [taylor]: Taking taylor expansion of a in a 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (/ 1 1) into 1 7.340 * [backup-simplify]: Simplify (+ 0 1) into 1 7.340 * [backup-simplify]: Simplify (log 1) into 0 7.340 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 7.340 * [backup-simplify]: Simplify (- (log a)) into (- (log a)) 7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (+ 1 0) into 1 7.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.342 * [backup-simplify]: Simplify 1 into 1 7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.344 * [backup-simplify]: Simplify -1/2 into -1/2 7.345 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 a) 2)) (+ (* 1 (/ 1 a)) (- (log (/ 1 a))))) into (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) 7.345 * [backup-simplify]: Simplify (log1p (/ 1 (- a))) into (log1p (/ -1 a)) 7.345 * [approximate]: Taking taylor expansion of (log1p (/ -1 a)) in (a) around 0 7.345 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 7.345 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 7.345 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 7.345 * [taylor]: Taking taylor expansion of 1 in a 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [taylor]: Taking taylor expansion of (/ -1 a) in a 7.345 * [taylor]: Taking taylor expansion of -1 in a 7.345 * [backup-simplify]: Simplify -1 into -1 7.345 * [taylor]: Taking taylor expansion of a in a 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (/ -1 1) into -1 7.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.346 * [backup-simplify]: Simplify (log -1) into (log -1) 7.346 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 7.346 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 7.346 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 7.346 * [taylor]: Taking taylor expansion of 1 in a 7.346 * [backup-simplify]: Simplify 1 into 1 7.346 * [taylor]: Taking taylor expansion of (/ -1 a) in a 7.346 * [taylor]: Taking taylor expansion of -1 in a 7.346 * [backup-simplify]: Simplify -1 into -1 7.346 * [taylor]: Taking taylor expansion of a in a 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.346 * [backup-simplify]: Simplify (/ -1 1) into -1 7.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.347 * [backup-simplify]: Simplify (log -1) into (log -1) 7.347 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 7.348 * [backup-simplify]: Simplify (- (log -1) (log a)) into (- (log -1) (log a)) 7.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (+ 1 0) into 1 7.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 7.349 * [backup-simplify]: Simplify -1 into -1 7.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (+ 0 0) into 0 7.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 7.352 * [backup-simplify]: Simplify -1/2 into -1/2 7.352 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- a)) 2)) (+ (* -1 (/ 1 (- a))) (- (log -1) (log (/ 1 (- a)))))) into (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) 7.352 * * * [progress]: simplifying candidates 7.353 * [simplify]: Simplifying: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (exp (fmod (cosh a) (* a a))))) (log1p (log (exp (fmod (cosh a) (* a a))))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (expm1 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (+ 1 a) (expm1 (log1p a)) (log1p (log1p a)) (log (log1p a)) (exp (log1p a)) (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)) (* (* (log1p a) (log1p a)) (log1p a)) (sqrt (log1p a)) (sqrt (log1p a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) (- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a)))) (- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a)))) 7.354 * * [simplify]: iteration 0: 88 enodes 7.381 * * [simplify]: iteration 1: 158 enodes 7.415 * * [simplify]: iteration 2: 339 enodes 7.551 * * [simplify]: iteration 3: 1106 enodes 7.992 * * [simplify]: iteration complete: 5001 enodes 7.992 * * [simplify]: Extracting #0: cost 36 inf + 0 7.994 * * [simplify]: Extracting #1: cost 484 inf + 3 7.999 * * [simplify]: Extracting #2: cost 1429 inf + 330 8.005 * * [simplify]: Extracting #3: cost 677 inf + 5028 8.015 * * [simplify]: Extracting #4: cost 197 inf + 9134 8.023 * * [simplify]: Extracting #5: cost 32 inf + 10599 8.034 * * [simplify]: Extracting #6: cost 4 inf + 10942 8.045 * * [simplify]: Extracting #7: cost 0 inf + 11016 8.055 * * [simplify]: Extracting #8: cost 0 inf + 11014 8.061 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (* (log (cbrt (exp (fmod (cosh a) (* a a))))) 2) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ 1 a) a (log1p (log1p a)) (log (log1p a)) (exp (log1p a)) (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)) (pow (log1p a) 3) (sqrt (log1p a)) (sqrt (log1p a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (fma (pow a 3) 1/3 (fma -1/2 (* a a) a)) (- (/ 1 a) (- (/ 1/2 (* a a)) (log a))) (- (/ 1 a) (- (/ 1/2 (* a a)) (log a))) 8.061 * * * [progress]: adding candidates to table 8.358 * * [progress]: iteration 4 / 4 8.358 * * * [progress]: picking best candidate 8.409 * * * * [pick]: Picked # 8.409 * * * [progress]: localizing error 8.434 * * * [progress]: generating rewritten candidates 8.434 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.435 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 8.440 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 8.443 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.445 * * * [progress]: generating series expansions 8.445 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.445 * [backup-simplify]: Simplify (fmod (cosh a) (* a a)) into (fmod (cosh a) (pow a 2)) 8.445 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 8.445 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 8.445 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 8.445 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 8.445 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 8.445 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify (fmod (cosh a) (pow a 2)) into (fmod (cosh a) (pow a 2)) 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 8.446 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 8.446 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 8.446 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) into (fmod (cosh a) (pow a 2)) 8.446 * [backup-simplify]: Simplify (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 8.446 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 8.446 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 8.447 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 8.447 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 8.447 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 8.447 * [backup-simplify]: Simplify (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) into (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) into (fmod (cosh a) (pow a 2)) 8.447 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 8.447 * [backup-simplify]: Simplify (log (sqrt (exp (log1p a)))) into (log (sqrt (exp (log1p a)))) 8.447 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in (a) around 0 8.447 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in a 8.447 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p a))) in a 8.447 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 8.447 * [taylor]: Taking taylor expansion of (log1p a) in a 8.447 * [taylor]: Rewrote expression to (log (+ 1 a)) 8.447 * [taylor]: Taking taylor expansion of (+ 1 a) in a 8.448 * [taylor]: Taking taylor expansion of 1 in a 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [taylor]: Taking taylor expansion of a in a 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (+ 1 0) into 1 8.448 * [backup-simplify]: Simplify (log 1) into 0 8.449 * [backup-simplify]: Simplify (+ 0 1) into 1 8.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.449 * [backup-simplify]: Simplify (exp 0) into 1 8.450 * [backup-simplify]: Simplify (sqrt 1) into 1 8.450 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.451 * [backup-simplify]: Simplify (log 1) into 0 8.451 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in a 8.451 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p a))) in a 8.451 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 8.451 * [taylor]: Taking taylor expansion of (log1p a) in a 8.451 * [taylor]: Rewrote expression to (log (+ 1 a)) 8.451 * [taylor]: Taking taylor expansion of (+ 1 a) in a 8.451 * [taylor]: Taking taylor expansion of 1 in a 8.451 * [backup-simplify]: Simplify 1 into 1 8.451 * [taylor]: Taking taylor expansion of a in a 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 1 into 1 8.451 * [backup-simplify]: Simplify (+ 1 0) into 1 8.452 * [backup-simplify]: Simplify (log 1) into 0 8.452 * [backup-simplify]: Simplify (+ 0 1) into 1 8.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.453 * [backup-simplify]: Simplify (exp 0) into 1 8.453 * [backup-simplify]: Simplify (sqrt 1) into 1 8.453 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.454 * [backup-simplify]: Simplify (log 1) into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.455 * [backup-simplify]: Simplify 1/2 into 1/2 8.455 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.459 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.460 * [backup-simplify]: Simplify -1/4 into -1/4 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.465 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 8.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.479 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 8.479 * [backup-simplify]: Simplify 1/6 into 1/6 8.480 * [backup-simplify]: Simplify (+ (* 1/6 (pow a 3)) (+ (* -1/4 (pow a 2)) (* 1/2 a))) into (- (+ (* 1/2 a) (* 1/6 (pow a 3))) (* 1/4 (pow a 2))) 8.480 * [backup-simplify]: Simplify (log (sqrt (exp (log1p (/ 1 a))))) into (log (sqrt (exp (log1p (/ 1 a))))) 8.480 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in (a) around 0 8.480 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in a 8.480 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ 1 a)))) in a 8.480 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 8.480 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 8.480 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 8.480 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 8.480 * [taylor]: Taking taylor expansion of 1 in a 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.480 * [taylor]: Taking taylor expansion of a in a 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [backup-simplify]: Simplify (+ 0 1) into 1 8.482 * [backup-simplify]: Simplify (log 1) into 0 8.482 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.482 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.483 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 8.483 * [backup-simplify]: Simplify (sqrt (exp (- (log a)))) into (sqrt (exp (- (log a)))) 8.483 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.484 * [backup-simplify]: Simplify (+ 1 0) into 1 8.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.486 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log a))) 8.487 * [backup-simplify]: Simplify (/ (exp (- (log a))) (* 2 (sqrt (exp (- (log a)))))) into (* 1/2 (sqrt (exp (- (log a))))) 8.487 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.487 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in a 8.487 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ 1 a)))) in a 8.487 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 8.487 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 8.487 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 8.487 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 8.487 * [taylor]: Taking taylor expansion of 1 in a 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.487 * [taylor]: Taking taylor expansion of a in a 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (/ 1 1) into 1 8.488 * [backup-simplify]: Simplify (+ 0 1) into 1 8.489 * [backup-simplify]: Simplify (log 1) into 0 8.489 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.490 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.490 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 8.490 * [backup-simplify]: Simplify (sqrt (exp (- (log a)))) into (sqrt (exp (- (log a)))) 8.491 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ 1 0) into 1 8.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.494 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log a))) 8.494 * [backup-simplify]: Simplify (/ (exp (- (log a))) (* 2 (sqrt (exp (- (log a)))))) into (* 1/2 (sqrt (exp (- (log a))))) 8.494 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.495 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (sqrt (exp (- (log a)))))) 1)) (pow (sqrt (exp (- (log a)))) 1)))) 1) into 1/2 8.495 * [backup-simplify]: Simplify 1/2 into 1/2 8.496 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.497 * [backup-simplify]: Simplify (+ 0 0) into 0 8.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.501 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.503 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (exp (- (log a))))) 2) (+)) (* 2 (sqrt (exp (- (log a)))))) into (* -1/8 (sqrt (exp (- (log a))))) 8.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (sqrt (exp (- (log a)))))) 2)) (pow (sqrt (exp (- (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/8 (sqrt (exp (- (log a)))))) 1)) (pow (sqrt (exp (- (log a)))) 1)))) 2) into -1/4 8.504 * [backup-simplify]: Simplify -1/4 into -1/4 8.504 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 a) 2)) (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a)))))))) into (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a))))))) (* 1/4 (/ 1 (pow a 2)))) 8.504 * [backup-simplify]: Simplify (log (sqrt (exp (log1p (/ 1 (- a)))))) into (log (sqrt (exp (log1p (/ -1 a))))) 8.504 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in (a) around 0 8.504 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in a 8.504 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ -1 a)))) in a 8.504 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 8.504 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 8.505 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 8.505 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 8.505 * [taylor]: Taking taylor expansion of 1 in a 8.505 * [backup-simplify]: Simplify 1 into 1 8.505 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.505 * [taylor]: Taking taylor expansion of -1 in a 8.505 * [backup-simplify]: Simplify -1 into -1 8.505 * [taylor]: Taking taylor expansion of a in a 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 1 into 1 8.505 * [backup-simplify]: Simplify (/ -1 1) into -1 8.506 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.506 * [backup-simplify]: Simplify (log -1) into (log -1) 8.507 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.508 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.508 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 8.509 * [backup-simplify]: Simplify (sqrt (exp (- (log -1) (log a)))) into (sqrt (exp (- (log -1) (log a)))) 8.510 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (+ 1 0) into 1 8.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.514 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log a)))) 8.515 * [backup-simplify]: Simplify (/ (* -1 (exp (- (log -1) (log a)))) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/2 (sqrt (exp (- (log -1) (log a))))) 8.515 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.516 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in a 8.516 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ -1 a)))) in a 8.516 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 8.516 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 8.516 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 8.516 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 8.516 * [taylor]: Taking taylor expansion of 1 in a 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.516 * [taylor]: Taking taylor expansion of -1 in a 8.516 * [backup-simplify]: Simplify -1 into -1 8.516 * [taylor]: Taking taylor expansion of a in a 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [backup-simplify]: Simplify (/ -1 1) into -1 8.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.517 * [backup-simplify]: Simplify (log -1) into (log -1) 8.518 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.519 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.519 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 8.520 * [backup-simplify]: Simplify (sqrt (exp (- (log -1) (log a)))) into (sqrt (exp (- (log -1) (log a)))) 8.521 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (+ 1 0) into 1 8.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.525 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log a)))) 8.526 * [backup-simplify]: Simplify (/ (* -1 (exp (- (log -1) (log a)))) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/2 (sqrt (exp (- (log -1) (log a))))) 8.526 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.527 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/2 (sqrt (exp (- (log -1) (log a)))))) 1)) (pow (sqrt (exp (- (log -1) (log a)))) 1)))) 1) into -1/2 8.528 * [backup-simplify]: Simplify -1/2 into -1/2 8.529 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.536 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.537 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt (exp (- (log -1) (log a))))) 2) (+)) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/8 (sqrt (exp (- (log -1) (log a))))) 8.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/2 (sqrt (exp (- (log -1) (log a)))))) 2)) (pow (sqrt (exp (- (log -1) (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/8 (sqrt (exp (- (log -1) (log a)))))) 1)) (pow (sqrt (exp (- (log -1) (log a)))) 1)))) 2) into -1/4 8.540 * [backup-simplify]: Simplify -1/4 into -1/4 8.541 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 (- a)) 2)) (+ (* -1/2 (/ 1 (- a))) (log (sqrt (exp (- (log -1) (log (/ 1 (- a))))))))) into (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log -1) (log (/ -1 a))))))) (* 1/4 (/ 1 (pow a 2)))) 8.541 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 8.541 * [backup-simplify]: Simplify (log (sqrt (exp (log1p a)))) into (log (sqrt (exp (log1p a)))) 8.541 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in (a) around 0 8.541 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in a 8.541 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p a))) in a 8.541 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 8.541 * [taylor]: Taking taylor expansion of (log1p a) in a 8.541 * [taylor]: Rewrote expression to (log (+ 1 a)) 8.541 * [taylor]: Taking taylor expansion of (+ 1 a) in a 8.541 * [taylor]: Taking taylor expansion of 1 in a 8.541 * [backup-simplify]: Simplify 1 into 1 8.542 * [taylor]: Taking taylor expansion of a in a 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (+ 1 0) into 1 8.542 * [backup-simplify]: Simplify (log 1) into 0 8.543 * [backup-simplify]: Simplify (+ 0 1) into 1 8.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.544 * [backup-simplify]: Simplify (exp 0) into 1 8.545 * [backup-simplify]: Simplify (sqrt 1) into 1 8.546 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.547 * [backup-simplify]: Simplify (log 1) into 0 8.547 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p a)))) in a 8.547 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p a))) in a 8.547 * [taylor]: Taking taylor expansion of (exp (log1p a)) in a 8.547 * [taylor]: Taking taylor expansion of (log1p a) in a 8.547 * [taylor]: Rewrote expression to (log (+ 1 a)) 8.547 * [taylor]: Taking taylor expansion of (+ 1 a) in a 8.547 * [taylor]: Taking taylor expansion of 1 in a 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of a in a 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (+ 1 0) into 1 8.548 * [backup-simplify]: Simplify (log 1) into 0 8.549 * [backup-simplify]: Simplify (+ 0 1) into 1 8.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.550 * [backup-simplify]: Simplify (exp 0) into 1 8.550 * [backup-simplify]: Simplify (sqrt 1) into 1 8.552 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.553 * [backup-simplify]: Simplify (log 1) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.554 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.559 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.561 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.564 * [backup-simplify]: Simplify -1/4 into -1/4 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.570 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.572 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 8.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 8.576 * [backup-simplify]: Simplify 1/6 into 1/6 8.576 * [backup-simplify]: Simplify (+ (* 1/6 (pow a 3)) (+ (* -1/4 (pow a 2)) (* 1/2 a))) into (- (+ (* 1/2 a) (* 1/6 (pow a 3))) (* 1/4 (pow a 2))) 8.576 * [backup-simplify]: Simplify (log (sqrt (exp (log1p (/ 1 a))))) into (log (sqrt (exp (log1p (/ 1 a))))) 8.576 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in (a) around 0 8.576 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in a 8.576 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ 1 a)))) in a 8.576 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 8.576 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 8.576 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 8.576 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 8.576 * [taylor]: Taking taylor expansion of 1 in a 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.576 * [taylor]: Taking taylor expansion of a in a 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.577 * [backup-simplify]: Simplify (+ 0 1) into 1 8.577 * [backup-simplify]: Simplify (log 1) into 0 8.578 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.578 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.578 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 8.578 * [backup-simplify]: Simplify (sqrt (exp (- (log a)))) into (sqrt (exp (- (log a)))) 8.578 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (+ 1 0) into 1 8.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.580 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log a))) 8.580 * [backup-simplify]: Simplify (/ (exp (- (log a))) (* 2 (sqrt (exp (- (log a)))))) into (* 1/2 (sqrt (exp (- (log a))))) 8.580 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.580 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ 1 a))))) in a 8.580 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ 1 a)))) in a 8.580 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 a))) in a 8.580 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 8.581 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 8.581 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 8.581 * [taylor]: Taking taylor expansion of 1 in a 8.581 * [backup-simplify]: Simplify 1 into 1 8.581 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.581 * [taylor]: Taking taylor expansion of a in a 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify 1 into 1 8.581 * [backup-simplify]: Simplify (/ 1 1) into 1 8.581 * [backup-simplify]: Simplify (+ 0 1) into 1 8.581 * [backup-simplify]: Simplify (log 1) into 0 8.582 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.582 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.582 * [backup-simplify]: Simplify (exp (- (log a))) into (exp (- (log a))) 8.582 * [backup-simplify]: Simplify (sqrt (exp (- (log a)))) into (sqrt (exp (- (log a)))) 8.582 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ 1 0) into 1 8.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.584 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log a))) 8.584 * [backup-simplify]: Simplify (/ (exp (- (log a))) (* 2 (sqrt (exp (- (log a)))))) into (* 1/2 (sqrt (exp (- (log a))))) 8.585 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.585 * [backup-simplify]: Simplify (log (sqrt (exp (- (log a))))) into (log (sqrt (exp (- (log a))))) 8.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (sqrt (exp (- (log a)))))) 1)) (pow (sqrt (exp (- (log a)))) 1)))) 1) into 1/2 8.585 * [backup-simplify]: Simplify 1/2 into 1/2 8.585 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.589 * [backup-simplify]: Simplify (* (exp (- (log a))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.589 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (exp (- (log a))))) 2) (+)) (* 2 (sqrt (exp (- (log a)))))) into (* -1/8 (sqrt (exp (- (log a))))) 8.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (sqrt (exp (- (log a)))))) 2)) (pow (sqrt (exp (- (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/8 (sqrt (exp (- (log a)))))) 1)) (pow (sqrt (exp (- (log a)))) 1)))) 2) into -1/4 8.590 * [backup-simplify]: Simplify -1/4 into -1/4 8.590 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 a) 2)) (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a)))))))) into (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a))))))) (* 1/4 (/ 1 (pow a 2)))) 8.590 * [backup-simplify]: Simplify (log (sqrt (exp (log1p (/ 1 (- a)))))) into (log (sqrt (exp (log1p (/ -1 a))))) 8.590 * [approximate]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in (a) around 0 8.590 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in a 8.590 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ -1 a)))) in a 8.590 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 8.590 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 8.590 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 8.590 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 8.590 * [taylor]: Taking taylor expansion of 1 in a 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.590 * [taylor]: Taking taylor expansion of -1 in a 8.590 * [backup-simplify]: Simplify -1 into -1 8.590 * [taylor]: Taking taylor expansion of a in a 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (/ -1 1) into -1 8.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.591 * [backup-simplify]: Simplify (log -1) into (log -1) 8.592 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.592 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.592 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 8.593 * [backup-simplify]: Simplify (sqrt (exp (- (log -1) (log a)))) into (sqrt (exp (- (log -1) (log a)))) 8.593 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (+ 1 0) into 1 8.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.596 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log a)))) 8.596 * [backup-simplify]: Simplify (/ (* -1 (exp (- (log -1) (log a)))) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/2 (sqrt (exp (- (log -1) (log a))))) 8.597 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.597 * [taylor]: Taking taylor expansion of (log (sqrt (exp (log1p (/ -1 a))))) in a 8.597 * [taylor]: Taking taylor expansion of (sqrt (exp (log1p (/ -1 a)))) in a 8.597 * [taylor]: Taking taylor expansion of (exp (log1p (/ -1 a))) in a 8.597 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 8.597 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 8.597 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 8.597 * [taylor]: Taking taylor expansion of 1 in a 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.597 * [taylor]: Taking taylor expansion of -1 in a 8.597 * [backup-simplify]: Simplify -1 into -1 8.597 * [taylor]: Taking taylor expansion of a in a 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (/ -1 1) into -1 8.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.598 * [backup-simplify]: Simplify (log -1) into (log -1) 8.598 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.599 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.600 * [backup-simplify]: Simplify (exp (- (log -1) (log a))) into (exp (- (log -1) (log a))) 8.600 * [backup-simplify]: Simplify (sqrt (exp (- (log -1) (log a)))) into (sqrt (exp (- (log -1) (log a)))) 8.601 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (+ 1 0) into 1 8.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.605 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log a)))) 8.606 * [backup-simplify]: Simplify (/ (* -1 (exp (- (log -1) (log a)))) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/2 (sqrt (exp (- (log -1) (log a))))) 8.606 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.607 * [backup-simplify]: Simplify (log (sqrt (exp (- (log -1) (log a))))) into (log (sqrt (exp (- (log -1) (log a))))) 8.614 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/2 (sqrt (exp (- (log -1) (log a)))))) 1)) (pow (sqrt (exp (- (log -1) (log a)))) 1)))) 1) into -1/2 8.614 * [backup-simplify]: Simplify -1/2 into -1/2 8.615 * [backup-simplify]: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) 8.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.617 * [backup-simplify]: Simplify (+ 0 0) into 0 8.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.622 * [backup-simplify]: Simplify (* (exp (- (log -1) (log a))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 8.623 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt (exp (- (log -1) (log a))))) 2) (+)) (* 2 (sqrt (exp (- (log -1) (log a)))))) into (* -1/8 (sqrt (exp (- (log -1) (log a))))) 8.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/2 (sqrt (exp (- (log -1) (log a)))))) 2)) (pow (sqrt (exp (- (log -1) (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/8 (sqrt (exp (- (log -1) (log a)))))) 1)) (pow (sqrt (exp (- (log -1) (log a)))) 1)))) 2) into -1/4 8.626 * [backup-simplify]: Simplify -1/4 into -1/4 8.627 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 (- a)) 2)) (+ (* -1/2 (/ 1 (- a))) (log (sqrt (exp (- (log -1) (log (/ 1 (- a))))))))) into (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log -1) (log (/ -1 a))))))) (* 1/4 (/ 1 (pow a 2)))) 8.627 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.627 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.627 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) in (a) around 0 8.628 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) in a 8.628 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.628 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) in a 8.629 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.629 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.630 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (* (/ 1 a) (/ 1 a))) (+ (log (sqrt (exp (log1p (/ 1 a))))) (log (sqrt (exp (log1p (/ 1 a)))))))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) 8.630 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) in (a) around 0 8.630 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) in a 8.631 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) 8.631 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) in a 8.631 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) 8.632 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) into (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ 1 a)))))))) 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (/ 1 a))) (/ 1 (pow (/ 1 a) 2))) (* 2 (log (sqrt (exp (log1p (/ 1 (/ 1 a))))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.633 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (+ (log (sqrt (exp (log1p (/ 1 (- a)))))) (log (sqrt (exp (log1p (/ 1 (- a))))))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) 8.633 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) in (a) around 0 8.633 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) in a 8.634 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) 8.634 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) in a 8.634 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) 8.635 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) into (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (* 2 (log (sqrt (exp (log1p (/ -1 a)))))))) 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (acos (pow (fmod (cosh (/ -1 (/ 1 (- a)))) (/ 1 (pow (/ 1 (- a)) 2))) (* 2 (log (sqrt (exp (log1p (/ -1 (/ 1 (- a)))))))))) into (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.635 * * * [progress]: simplifying candidates 8.636 * [simplify]: Simplifying: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (sqrt (exp (log1p a))))) (log1p (log (sqrt (exp (log1p a))))) (log (* (cbrt (sqrt (exp (log1p a)))) (cbrt (sqrt (exp (log1p a)))))) (log (cbrt (sqrt (exp (log1p a))))) (log (sqrt (* (cbrt (exp (log1p a))) (cbrt (exp (log1p a)))))) (log (sqrt (cbrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt 1)) (log (sqrt (exp (log1p a)))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log 1) (log (sqrt (exp (log1p a)))) (log (exp (log1p a))) (log (sqrt (exp (log1p a)))) (log (exp (log1p a))) (log (exp (* (cbrt (log1p a)) (cbrt (log1p a))))) (log (exp (sqrt (log1p a)))) (log (exp 1)) (log (log (sqrt (exp (log1p a))))) (exp (log (sqrt (exp (log1p a))))) (* (cbrt (log (sqrt (exp (log1p a))))) (cbrt (log (sqrt (exp (log1p a)))))) (cbrt (log (sqrt (exp (log1p a))))) (* (* (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))) (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (expm1 (log (sqrt (exp (log1p a))))) (log1p (log (sqrt (exp (log1p a))))) (log (* (cbrt (sqrt (exp (log1p a)))) (cbrt (sqrt (exp (log1p a)))))) (log (cbrt (sqrt (exp (log1p a))))) (log (sqrt (* (cbrt (exp (log1p a))) (cbrt (exp (log1p a)))))) (log (sqrt (cbrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt 1)) (log (sqrt (exp (log1p a)))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log 1) (log (sqrt (exp (log1p a)))) (log (exp (log1p a))) (log (sqrt (exp (log1p a)))) (log (exp (log1p a))) (log (exp (* (cbrt (log1p a)) (cbrt (log1p a))))) (log (exp (sqrt (log1p a)))) (log (exp 1)) (log (log (sqrt (exp (log1p a))))) (exp (log (sqrt (exp (log1p a))))) (* (cbrt (log (sqrt (exp (log1p a))))) (cbrt (log (sqrt (exp (log1p a)))))) (cbrt (log (sqrt (exp (log1p a))))) (* (* (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))) (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (log1p (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))))) (log (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (exp (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (* (* (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a))))))) (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (+ (* 1/2 a) (* 1/6 (pow a 3))) (* 1/4 (pow a 2))) (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a))))))) (* 1/4 (/ 1 (pow a 2)))) (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log -1) (log (/ -1 a))))))) (* 1/4 (/ 1 (pow a 2)))) (- (+ (* 1/2 a) (* 1/6 (pow a 3))) (* 1/4 (pow a 2))) (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log (/ 1 a))))))) (* 1/4 (/ 1 (pow a 2)))) (- (+ (* 1/2 (/ 1 a)) (log (sqrt (exp (- (log -1) (log (/ -1 a))))))) (* 1/4 (/ 1 (pow a 2)))) (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) (acos (pow (fmod (cosh a) (pow a 2)) (* 2 (log (sqrt (exp (log1p a))))))) 8.637 * * [simplify]: iteration 0: 104 enodes 8.655 * * [simplify]: iteration 1: 176 enodes 8.711 * * [simplify]: iteration 2: 358 enodes 8.864 * * [simplify]: iteration 3: 968 enodes 11.001 * * [simplify]: iteration 4: 4139 enodes 12.353 * * [simplify]: iteration complete: 5000 enodes 12.353 * * [simplify]: Extracting #0: cost 41 inf + 0 12.354 * * [simplify]: Extracting #1: cost 294 inf + 2 12.358 * * [simplify]: Extracting #2: cost 1000 inf + 171 12.371 * * [simplify]: Extracting #3: cost 464 inf + 3076 12.380 * * [simplify]: Extracting #4: cost 199 inf + 5815 12.385 * * [simplify]: Extracting #5: cost 31 inf + 7621 12.389 * * [simplify]: Extracting #6: cost 1 inf + 7963 12.394 * * [simplify]: Extracting #7: cost 0 inf + 7966 12.399 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (sqrt (exp (log1p a))))) (log1p (log (sqrt (exp (log1p a))))) (* (log (cbrt (sqrt (exp (log1p a))))) 2) (log (cbrt (sqrt (exp (log1p a))))) (log (fabs (cbrt (exp (log1p a))))) (log (sqrt (cbrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) 0 (log (sqrt (exp (log1p a)))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) 0 (log (sqrt (exp (log1p a)))) (log1p a) (log (sqrt (exp (log1p a)))) (log1p a) (* (cbrt (log1p a)) (cbrt (log1p a))) (sqrt (log1p a)) 1 (log (log (sqrt (exp (log1p a))))) (sqrt (exp (log1p a))) (* (cbrt (log (sqrt (exp (log1p a))))) (cbrt (log (sqrt (exp (log1p a)))))) (cbrt (log (sqrt (exp (log1p a))))) (pow (log (sqrt (exp (log1p a)))) 3) (sqrt (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (expm1 (log (sqrt (exp (log1p a))))) (log1p (log (sqrt (exp (log1p a))))) (* (log (cbrt (sqrt (exp (log1p a))))) 2) (log (cbrt (sqrt (exp (log1p a))))) (log (fabs (cbrt (exp (log1p a))))) (log (sqrt (cbrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) 0 (log (sqrt (exp (log1p a)))) (log (sqrt (sqrt (exp (log1p a))))) (log (sqrt (sqrt (exp (log1p a))))) 0 (log (sqrt (exp (log1p a)))) (log1p a) (log (sqrt (exp (log1p a)))) (log1p a) (* (cbrt (log1p a)) (cbrt (log1p a))) (sqrt (log1p a)) 1 (log (log (sqrt (exp (log1p a))))) (sqrt (exp (log1p a))) (* (cbrt (log (sqrt (exp (log1p a))))) (cbrt (log (sqrt (exp (log1p a)))))) (cbrt (log (sqrt (exp (log1p a))))) (pow (log (sqrt (exp (log1p a)))) 3) (sqrt (log (sqrt (exp (log1p a))))) (sqrt (log (sqrt (exp (log1p a))))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (log1p (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))) (log (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (exp (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (pow (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a)))))))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* a (fma a (- (* a 1/6) 1/4) 1/2)) (- (log (sqrt a)) (- (/ 1/4 (* a a)) (/ 1/2 a))) (- (log (sqrt a)) (- (/ 1/4 (* a a)) (/ 1/2 a))) (* a (fma a (- (* a 1/6) 1/4) 1/2)) (- (log (sqrt a)) (- (/ 1/4 (* a a)) (/ 1/2 a))) (- (log (sqrt a)) (- (/ 1/4 (* a a)) (/ 1/2 a))) (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))) (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))) (acos (pow (fmod (cosh a) (* a a)) (* 2 (log (sqrt (exp (log1p a))))))) 12.400 * * * [progress]: adding candidates to table 12.880 * [progress]: [Phase 3 of 3] Extracting. 12.880 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 12.885 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 12.886 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # # # #) 13.012 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 13.097 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # # # #) 13.237 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 13.367 * * * [regime]: Found split indices: #