94.086 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (/ a (- (acos a))) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: Extracting # 3 : cost 0 0.041 * * [simplify]: Extracting # 4 : cost 0 0.041 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.042 * [simplify]: Simplified to: (/ a (- (acos a))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.083 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.083 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.083 * [taylor]: Taking taylor expansion of -1 in a 0.084 * [backup-simplify]: Simplify -1 into -1 0.084 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.084 * [taylor]: Taking taylor expansion of a in a 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of (acos a) in a 0.085 * [backup-simplify]: Simplify (acos a) into (acos a) 0.085 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.085 * [taylor]: Taking taylor expansion of -1 in a 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.085 * [taylor]: Taking taylor expansion of a in a 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (acos a) in a 0.086 * [backup-simplify]: Simplify (acos a) into (acos a) 0.086 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.086 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.086 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.086 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.099 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.099 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.099 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.099 * [taylor]: Taking taylor expansion of -1 in a 0.099 * [backup-simplify]: Simplify -1 into -1 0.099 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.099 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.099 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.099 * [taylor]: Taking taylor expansion of a in a 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.100 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.100 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.100 * [taylor]: Taking taylor expansion of -1 in a 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.100 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.100 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.100 * [taylor]: Taking taylor expansion of a in a 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.101 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.101 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.101 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.102 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.112 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.112 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.112 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.112 * [taylor]: Taking taylor expansion of a in a 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.112 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.112 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.113 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.113 * [taylor]: Taking taylor expansion of a in a 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.113 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.123 * * * [progress]: simplifying candidates 0.124 * [simplify]: Simplifying: (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.125 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: Extracting # 1 : cost 0 0.125 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: Extracting # 3 : cost 0 0.126 * * [simplify]: Extracting # 4 : cost 0 0.126 * * [simplify]: Extracting # 5 : cost 0 0.126 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.147 * * [simplify]: Extracting # 1 : cost 0 0.147 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.148 * * [simplify]: iteration 1 : 164 enodes (cost 569 ) 0.198 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.199 * * [simplify]: Extracting # 3 : cost 0 0.199 * * [simplify]: Extracting # 4 : cost 0 0.199 * * [simplify]: iteration 2 : 334 enodes (cost 551 ) 0.323 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: Extracting # 1 : cost 0 0.324 * * [simplify]: Extracting # 2 : cost 0 0.325 * * [simplify]: Extracting # 3 : cost 0 0.325 * * [simplify]: Extracting # 4 : cost 0 0.326 * * [simplify]: iteration 3 : 587 enodes (cost 551 ) 0.656 * * [simplify]: Extracting # 0 : cost 0 0.657 * * [simplify]: Extracting # 1 : cost 0 0.657 * * [simplify]: Extracting # 2 : cost 0 0.658 * * [simplify]: Extracting # 3 : cost 0 0.659 * * [simplify]: Extracting # 4 : cost 0 0.660 * * [simplify]: iteration 4 : 1101 enodes (cost 551 ) 2.029 * * [simplify]: Extracting # 0 : cost 0 2.031 * * [simplify]: Extracting # 1 : cost 0 2.033 * * [simplify]: Extracting # 2 : cost 0 2.034 * * [simplify]: Extracting # 3 : cost 0 2.035 * * [simplify]: Extracting # 4 : cost 0 2.037 * * [simplify]: iteration 5 : 2149 enodes (cost 546 ) 4.846 * * [simplify]: Extracting # 0 : cost 0 4.852 * * [simplify]: Extracting # 1 : cost 0 4.856 * * [simplify]: Extracting # 2 : cost 0 4.860 * * [simplify]: Extracting # 3 : cost 0 4.865 * * [simplify]: Extracting # 4 : cost 0 4.872 * * [simplify]: iteration done: 5000 enodes (cost 546 ) 4.872 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (- (/ a (acos a))) (/ -1 (acos a)) (/ (acos a) (- a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (acos a) (- a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 4.873 * * * [progress]: adding candidates to table 4.999 * * [progress]: iteration 2 / 4 4.999 * * * [progress]: picking best candidate 5.024 * * * * [pick]: Picked # 5.024 * * * [progress]: localizing error 5.035 * * * [progress]: generating rewritten candidates 5.035 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 5.083 * * * [progress]: generating series expansions 5.083 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.083 * [backup-simplify]: Simplify (* a (/ -1 (acos a))) into (* -1 (/ a (acos a))) 5.083 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.083 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.083 * [taylor]: Taking taylor expansion of -1 in a 5.083 * [backup-simplify]: Simplify -1 into -1 5.083 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.083 * [taylor]: Taking taylor expansion of a in a 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [taylor]: Taking taylor expansion of (acos a) in a 5.083 * [backup-simplify]: Simplify (acos a) into (acos a) 5.083 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.083 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.084 * [taylor]: Taking taylor expansion of -1 in a 5.084 * [backup-simplify]: Simplify -1 into -1 5.084 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.084 * [taylor]: Taking taylor expansion of a in a 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [taylor]: Taking taylor expansion of (acos a) in a 5.084 * [backup-simplify]: Simplify (acos a) into (acos a) 5.084 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.084 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.084 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.084 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.085 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.096 * [backup-simplify]: Simplify (* (/ 1 a) (/ -1 (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.096 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.097 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.097 * [taylor]: Taking taylor expansion of -1 in a 5.097 * [backup-simplify]: Simplify -1 into -1 5.097 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.097 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.097 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.097 * [taylor]: Taking taylor expansion of a in a 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.097 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.097 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.098 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.098 * [taylor]: Taking taylor expansion of -1 in a 5.098 * [backup-simplify]: Simplify -1 into -1 5.098 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.098 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.098 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.098 * [taylor]: Taking taylor expansion of a in a 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.098 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.098 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.098 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.099 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.099 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.100 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.101 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.102 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.104 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.106 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.108 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.109 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ -1 (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.109 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.109 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.109 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.109 * [taylor]: Taking taylor expansion of a in a 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.109 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.109 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.110 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.110 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.110 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.110 * [taylor]: Taking taylor expansion of a in a 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.110 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.110 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.111 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.111 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.119 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 5.125 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.125 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 5.125 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.125 * [taylor]: Taking taylor expansion of -1 in a 5.125 * [backup-simplify]: Simplify -1 into -1 5.126 * [taylor]: Taking taylor expansion of (acos a) in a 5.126 * [backup-simplify]: Simplify (acos a) into (acos a) 5.126 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.126 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.126 * [taylor]: Taking taylor expansion of -1 in a 5.126 * [backup-simplify]: Simplify -1 into -1 5.126 * [taylor]: Taking taylor expansion of (acos a) in a 5.126 * [backup-simplify]: Simplify (acos a) into (acos a) 5.126 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.126 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.126 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.129 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.129 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 5.129 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.129 * [taylor]: Taking taylor expansion of -1 in a 5.129 * [backup-simplify]: Simplify -1 into -1 5.129 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.129 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.129 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.130 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.130 * [taylor]: Taking taylor expansion of -1 in a 5.130 * [backup-simplify]: Simplify -1 into -1 5.130 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.130 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.130 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.130 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.130 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.131 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.132 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 5.134 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (- a)))) into (/ -1 (acos (/ -1 a))) 5.134 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 5.134 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.134 * [taylor]: Taking taylor expansion of -1 in a 5.134 * [backup-simplify]: Simplify -1 into -1 5.134 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.134 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.134 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.134 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.134 * [taylor]: Taking taylor expansion of -1 in a 5.134 * [backup-simplify]: Simplify -1 into -1 5.134 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.134 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.134 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.135 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.135 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.135 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 5.138 * * * [progress]: simplifying candidates 5.140 * [simplify]: Simplifying: (* a (/ -1 (acos a))) (+ (log a) (- (log -1) (log (acos a)))) (+ (log a) (log (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (exp (* a (/ -1 (acos a)))) (* (* (* a a) a) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a)))) (* (* (* a a) a) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (* (cbrt (* a (/ -1 (acos a)))) (cbrt (* a (/ -1 (acos a))))) (cbrt (* a (/ -1 (acos a)))) (* (* (* a (/ -1 (acos a))) (* a (/ -1 (acos a)))) (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) 1)) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (/ (sqrt -1) 1)) (* a (/ 1 (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ 1 (sqrt (acos a)))) (* a (/ 1 1)) (* a 1) (* a -1) (* (cbrt a) (/ -1 (acos a))) (* (sqrt a) (/ -1 (acos a))) (* a (/ -1 (acos a))) (* a -1) (- (log -1) (log (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (- -1) (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) 1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ 1 1) (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) (/ -1 1) (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 5.142 * * [simplify]: Extracting # 0 : cost 0 5.142 * * [simplify]: Extracting # 1 : cost 0 5.142 * * [simplify]: Extracting # 2 : cost 0 5.142 * * [simplify]: Extracting # 3 : cost 0 5.143 * * [simplify]: Extracting # 4 : cost 0 5.143 * * [simplify]: Extracting # 5 : cost 0 5.143 * * [simplify]: Extracting # 6 : cost 0 5.143 * * [simplify]: iteration 0 : 86 enodes (cost 558 ) 5.188 * * [simplify]: Extracting # 0 : cost 0 5.189 * * [simplify]: Extracting # 1 : cost 0 5.189 * * [simplify]: Extracting # 2 : cost 0 5.190 * * [simplify]: Extracting # 3 : cost 0 5.190 * * [simplify]: iteration 1 : 180 enodes (cost 510 ) 5.264 * * [simplify]: Extracting # 0 : cost 0 5.264 * * [simplify]: Extracting # 1 : cost 0 5.265 * * [simplify]: Extracting # 2 : cost 0 5.265 * * [simplify]: Extracting # 3 : cost 0 5.266 * * [simplify]: Extracting # 4 : cost 0 5.266 * * [simplify]: Extracting # 5 : cost 0 5.267 * * [simplify]: iteration 2 : 502 enodes (cost 460 ) 5.788 * * [simplify]: Extracting # 0 : cost 0 5.792 * * [simplify]: Extracting # 1 : cost 0 5.794 * * [simplify]: Extracting # 2 : cost 0 5.796 * * [simplify]: Extracting # 3 : cost 0 5.797 * * [simplify]: Extracting # 4 : cost 0 5.799 * * [simplify]: iteration 3 : 1348 enodes (cost 458 ) 9.918 * * [simplify]: Extracting # 0 : cost 0 9.923 * * [simplify]: Extracting # 1 : cost 0 9.926 * * [simplify]: Extracting # 2 : cost 0 9.928 * * [simplify]: Extracting # 3 : cost 0 9.931 * * [simplify]: Extracting # 4 : cost 0 9.933 * * [simplify]: iteration 4 : 3468 enodes (cost 458 ) 13.394 * * [simplify]: Extracting # 0 : cost 0 13.405 * * [simplify]: Extracting # 1 : cost 0 13.410 * * [simplify]: Extracting # 2 : cost 0 13.414 * * [simplify]: iteration done: 5001 enodes (cost 458 ) 13.414 * [simplify]: Simplified to: (- (/ a (acos a))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (pow (- (/ a (acos a))) 3) (* (cbrt (- (/ a (acos a)))) (cbrt (- (/ a (acos a))))) (cbrt (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (sqrt (- (/ a (acos a)))) (sqrt (- (/ a (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (* (cbrt -1) (cbrt -1))) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (sqrt -1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a a (- a) (/ (- (cbrt a)) (acos a)) (/ (- (sqrt a)) (acos a)) (- (/ a (acos a))) (- a) (log (/ -1 (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) 1 (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (sqrt -1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 13.414 * * * [progress]: adding candidates to table 13.565 * * [progress]: iteration 3 / 4 13.565 * * * [progress]: picking best candidate 13.573 * * * * [pick]: Picked # 13.573 * * * [progress]: localizing error 13.580 * * * [progress]: generating rewritten candidates 13.580 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 13.605 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 13.647 * * * [progress]: generating series expansions 13.647 * * * * [progress]: [ 1 / 2 ] generating series at (2) 13.647 * [backup-simplify]: Simplify (/ 1 (/ (acos a) (- a))) into (* -1 (/ a (acos a))) 13.647 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 13.647 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.647 * [taylor]: Taking taylor expansion of -1 in a 13.647 * [backup-simplify]: Simplify -1 into -1 13.647 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.647 * [taylor]: Taking taylor expansion of a in a 13.647 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify 1 into 1 13.647 * [taylor]: Taking taylor expansion of (acos a) in a 13.648 * [backup-simplify]: Simplify (acos a) into (acos a) 13.648 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.648 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.648 * [taylor]: Taking taylor expansion of -1 in a 13.648 * [backup-simplify]: Simplify -1 into -1 13.648 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.648 * [taylor]: Taking taylor expansion of a in a 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 1 into 1 13.648 * [taylor]: Taking taylor expansion of (acos a) in a 13.648 * [backup-simplify]: Simplify (acos a) into (acos a) 13.648 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.648 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 13.648 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 13.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 13.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 13.650 * [backup-simplify]: Simplify 0 into 0 13.650 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 13.653 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 13.655 * [backup-simplify]: Simplify 0 into 0 13.656 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.666 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 13.669 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 13.670 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 a)) (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 13.670 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.670 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.670 * [taylor]: Taking taylor expansion of -1 in a 13.670 * [backup-simplify]: Simplify -1 into -1 13.670 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.670 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.670 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.670 * [taylor]: Taking taylor expansion of a in a 13.670 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify 1 into 1 13.670 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.671 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.671 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.671 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.671 * [taylor]: Taking taylor expansion of -1 in a 13.671 * [backup-simplify]: Simplify -1 into -1 13.671 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.671 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.671 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.671 * [taylor]: Taking taylor expansion of a in a 13.671 * [backup-simplify]: Simplify 0 into 0 13.671 * [backup-simplify]: Simplify 1 into 1 13.672 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.672 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.672 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.672 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.673 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.674 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 13.674 * [backup-simplify]: Simplify 0 into 0 13.675 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.675 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.675 * [backup-simplify]: Simplify 0 into 0 13.676 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.677 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.677 * [backup-simplify]: Simplify 0 into 0 13.678 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.679 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.679 * [backup-simplify]: Simplify 0 into 0 13.680 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.681 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.681 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.684 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 13.684 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 (- a))) (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 13.684 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 13.684 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.684 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.684 * [taylor]: Taking taylor expansion of a in a 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.684 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.685 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.685 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.685 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.685 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.685 * [taylor]: Taking taylor expansion of a in a 13.685 * [backup-simplify]: Simplify 0 into 0 13.685 * [backup-simplify]: Simplify 1 into 1 13.685 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.686 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.686 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.686 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.687 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 13.688 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.695 * [backup-simplify]: Simplify 0 into 0 13.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.698 * [backup-simplify]: Simplify 0 into 0 13.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 13.702 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 13.702 * [backup-simplify]: Simplify (/ (acos a) (- a)) into (* -1 (/ (acos a) a)) 13.702 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 13.702 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.702 * [taylor]: Taking taylor expansion of -1 in a 13.702 * [backup-simplify]: Simplify -1 into -1 13.702 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.702 * [taylor]: Taking taylor expansion of (acos a) in a 13.702 * [backup-simplify]: Simplify (acos a) into (acos a) 13.703 * [taylor]: Taking taylor expansion of a in a 13.703 * [backup-simplify]: Simplify 0 into 0 13.703 * [backup-simplify]: Simplify 1 into 1 13.703 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.703 * [taylor]: Taking taylor expansion of -1 in a 13.703 * [backup-simplify]: Simplify -1 into -1 13.703 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.703 * [taylor]: Taking taylor expansion of (acos a) in a 13.703 * [backup-simplify]: Simplify (acos a) into (acos a) 13.703 * [taylor]: Taking taylor expansion of a in a 13.703 * [backup-simplify]: Simplify 0 into 0 13.703 * [backup-simplify]: Simplify 1 into 1 13.703 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.703 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.703 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 13.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 13.705 * [backup-simplify]: Simplify 0 into 0 13.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 13.707 * [backup-simplify]: Simplify 0 into 0 13.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.712 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 13.712 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 13.715 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 13.718 * [backup-simplify]: Simplify 0 into 0 13.718 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.718 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (- (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 13.718 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.718 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.718 * [taylor]: Taking taylor expansion of -1 in a 13.718 * [backup-simplify]: Simplify -1 into -1 13.718 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.718 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.718 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.719 * [taylor]: Taking taylor expansion of a in a 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.719 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.719 * [taylor]: Taking taylor expansion of -1 in a 13.719 * [backup-simplify]: Simplify -1 into -1 13.719 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.719 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.719 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.719 * [taylor]: Taking taylor expansion of a in a 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.719 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.719 * [backup-simplify]: Simplify (* -1 0) into 0 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.720 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 13.720 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 13.720 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 13.721 * [backup-simplify]: Simplify 0 into 0 13.722 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 13.723 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 13.726 * [backup-simplify]: Simplify 0 into 0 13.727 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.730 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 13.730 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 13.734 * [backup-simplify]: Simplify 0 into 0 13.735 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.737 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.737 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (- (/ 1 (- a)))) into (* a (acos (/ -1 a))) 13.738 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 13.738 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.738 * [taylor]: Taking taylor expansion of a in a 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 1 into 1 13.738 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.738 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.738 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.738 * [taylor]: Taking taylor expansion of a in a 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 1 into 1 13.738 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.738 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.738 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.738 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.739 * [backup-simplify]: Simplify 0 into 0 13.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.740 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.741 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.742 * [backup-simplify]: Simplify 0 into 0 13.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.744 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.746 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 13.746 * * * [progress]: simplifying candidates 13.749 * [simplify]: Simplifying: (- 1) (- (- (log (acos a)) (log (- a)))) (- (log (/ (acos a) (- a)))) (- 0 (- (log (acos a)) (log (- a)))) (- 0 (log (/ (acos a) (- a)))) (- (log 1) (- (log (acos a)) (log (- a)))) (- (log 1) (log (/ (acos a) (- a)))) (log (/ 1 (/ (acos a) (- a)))) (exp (/ 1 (/ (acos a) (- a)))) (/ (* (* 1 1) 1) (/ (* (* (acos a) (acos a)) (acos a)) (* (* (- a) (- a)) (- a)))) (/ (* (* 1 1) 1) (* (* (/ (acos a) (- a)) (/ (acos a) (- a))) (/ (acos a) (- a)))) (* (cbrt (/ 1 (/ (acos a) (- a)))) (cbrt (/ 1 (/ (acos a) (- a))))) (cbrt (/ 1 (/ (acos a) (- a)))) (* (* (/ 1 (/ (acos a) (- a))) (/ 1 (/ (acos a) (- a)))) (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (- 1) (- (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ (cbrt 1) (cbrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) (- a)))) (/ (cbrt 1) (sqrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (- (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) -1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (- 1))) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (- (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 1) (/ (acos a) (cbrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- a)))) (/ (cbrt 1) (/ (acos a) (sqrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 -1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (- (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (- (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (/ 1 (- a))) (/ (sqrt 1) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ (sqrt 1) (cbrt (/ (acos a) (- a)))) (/ (sqrt 1) (sqrt (/ (acos a) (- a)))) (/ (sqrt 1) (sqrt (/ (acos a) (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) (- a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (sqrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1))) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (- (sqrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) (- a))) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) (- a))) (/ (sqrt 1) (/ (sqrt (acos a)) -1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- 1))) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) (- a))) (/ (sqrt 1) (/ 1 (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (acos a) (cbrt (- a)))) (/ (sqrt 1) (/ 1 (sqrt (- a)))) (/ (sqrt 1) (/ (acos a) (sqrt (- a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) (/ 1 -1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ 1 (- (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ 1 (- (sqrt a)))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ 1 (- 1))) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (- (cbrt a)))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (acos a) (- (sqrt a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (/ 1 (- a))) (/ 1 (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ 1 (cbrt (/ (acos a) (- a)))) (/ 1 (sqrt (/ (acos a) (- a)))) (/ 1 (sqrt (/ (acos a) (- a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ 1 (/ (cbrt (acos a)) (cbrt (- a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ 1 (/ (cbrt (acos a)) (sqrt (- a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (cbrt (acos a)) (- a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ 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(acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 13.754 * * [simplify]: Extracting # 0 : cost 0 13.754 * * [simplify]: Extracting # 1 : cost 0 13.755 * * [simplify]: Extracting # 2 : cost 0 13.755 * * [simplify]: Extracting # 3 : cost 0 13.756 * * [simplify]: Extracting # 4 : cost 0 13.756 * * [simplify]: Extracting # 5 : cost 0 13.757 * * [simplify]: iteration 0 : 293 enodes (cost 3186 ) 14.007 * * [simplify]: Extracting # 0 : cost 0 14.010 * * [simplify]: Extracting # 1 : cost 0 14.010 * * [simplify]: Extracting # 2 : cost 0 14.011 * * [simplify]: Extracting # 3 : cost 0 14.011 * * [simplify]: iteration 1 : 611 enodes (cost 2657 ) 14.130 * * [simplify]: Extracting # 0 : cost 0 14.131 * * [simplify]: Extracting # 1 : cost 0 14.132 * * [simplify]: Extracting # 2 : cost 0 14.133 * * [simplify]: Extracting # 3 : cost 0 14.134 * * [simplify]: Extracting # 4 : cost 0 14.135 * * [simplify]: iteration 2 : 1135 enodes (cost 2356 ) 15.087 * * [simplify]: Extracting # 0 : cost 0 15.090 * * [simplify]: Extracting # 1 : cost 0 15.092 * * [simplify]: Extracting # 2 : cost 0 15.097 * * [simplify]: Extracting # 3 : cost 0 15.099 * * [simplify]: Extracting # 4 : cost 0 15.101 * * [simplify]: iteration 3 : 2752 enodes (cost 2260 ) 16.147 * * [simplify]: Extracting # 0 : cost 0 16.159 * * [simplify]: Extracting # 1 : cost 0 16.168 * * [simplify]: Extracting # 2 : cost 0 16.178 * * [simplify]: iteration done: 5000 enodes (cost 2260 ) 16.180 * [simplify]: Simplified to: -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (pow (/ (- a) (acos a)) 3) (pow (/ (- a) (acos a)) 3) (* (cbrt (/ (- a) (acos a))) (cbrt (/ (- a) (acos a)))) (cbrt (/ (- a) (acos a))) (pow (/ (- a) (acos a)) 3) (sqrt (/ (- a) (acos a))) (sqrt (/ (- a) (acos a))) -1 (- (/ (acos a) (- a))) (/ 1 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(cbrt (- a)) (cbrt (- a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt (- a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (- (* (cbrt a) (cbrt a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (- (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt (- a)) (cbrt (- a))) (sqrt (acos a))) (/ (sqrt (- a)) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (- (/ (* (cbrt a) (cbrt a)) (sqrt (acos a)))) (/ (- (sqrt a)) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt (- a)) (cbrt (- a))) (sqrt (- a)) 1 -1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (acos a)) (log (/ (acos a) (- a))) (log (/ (acos a) (- a))) (exp (/ (acos a) (- a))) (pow (/ (acos a) (- a)) 3) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a)))) (cbrt (/ (acos a) (- a))) (pow (/ (acos a) (- a)) 3) (sqrt (/ (acos a) (- a))) (sqrt (/ (acos a) (- a))) (- (acos a)) a (/ PI (* a -2)) (/ (asin a) (- a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a)))) (/ (cbrt (acos a)) (cbrt (- a))) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a))) (/ (cbrt (acos a)) (sqrt (- a))) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) (- a)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (acos a)) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (- (sqrt a)) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (cbrt (acos a)) (/ (* (cbrt a) (cbrt a)) (cbrt (acos a)))) (/ (cbrt (acos a)) (- (cbrt a))) (* (/ (cbrt (acos a)) (sqrt a)) (cbrt (acos a))) (/ (cbrt (acos a)) (- (sqrt a))) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) (- a)) (/ (/ (sqrt (acos a)) (cbrt (- a))) (cbrt (- a))) (/ (sqrt (acos a)) (cbrt (- a))) (/ (sqrt (acos a)) (sqrt (- a))) (/ (sqrt (acos a)) (sqrt (- a))) (sqrt (acos a)) (/ (sqrt (acos a)) (- a)) (/ (sqrt (acos a)) -1) (/ (sqrt (acos a)) a) (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a)))) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (- (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) -1) (/ (sqrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (- (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (- (sqrt a))) (sqrt (acos a)) (/ (sqrt (acos a)) (- a)) (/ 1 (* (cbrt (- a)) (cbrt (- a)))) (/ (acos a) (cbrt (- a))) (/ 1 (sqrt (- a))) (/ (acos a) (sqrt (- a))) 1 (- (/ (acos a) a)) -1 (/ (acos a) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (- (cbrt a))) (/ 1 (sqrt a)) (/ (acos a) (- (sqrt a))) 1 (- (/ (acos a) a)) (/ -1 a) (/ (- a) (acos a)) (/ (acos a) (* (cbrt (- a)) (cbrt (- a)))) (/ (acos a) (sqrt (- a))) (acos a) (- (acos a)) (/ (acos a) (- (* (cbrt a) (cbrt a)))) (/ (acos a) (- (sqrt a))) (- (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (- a) (cbrt (acos a))) (/ (- a) (sqrt (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 16.184 * * * [progress]: adding candidates to table 16.653 * * [progress]: iteration 4 / 4 16.653 * * * [progress]: picking best candidate 16.664 * * * * [pick]: Picked # 16.664 * * * [progress]: localizing error 16.680 * * * [progress]: generating rewritten candidates 16.680 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 16.713 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 16.786 * * * [progress]: generating series expansions 16.786 * * * * [progress]: [ 1 / 2 ] generating series at (2) 16.786 * [backup-simplify]: Simplify (/ (/ 1 (acos a)) (/ 1 (- a))) into (* -1 (/ a (acos a))) 16.786 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 16.786 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.786 * [taylor]: Taking taylor expansion of -1 in a 16.786 * [backup-simplify]: Simplify -1 into -1 16.786 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.786 * [taylor]: Taking taylor expansion of a in a 16.786 * [backup-simplify]: Simplify 0 into 0 16.786 * [backup-simplify]: Simplify 1 into 1 16.786 * [taylor]: Taking taylor expansion of (acos a) in a 16.786 * [backup-simplify]: Simplify (acos a) into (acos a) 16.786 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.786 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.786 * [taylor]: Taking taylor expansion of -1 in a 16.786 * [backup-simplify]: Simplify -1 into -1 16.786 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.786 * [taylor]: Taking taylor expansion of a in a 16.787 * [backup-simplify]: Simplify 0 into 0 16.787 * [backup-simplify]: Simplify 1 into 1 16.787 * [taylor]: Taking taylor expansion of (acos a) in a 16.787 * [backup-simplify]: Simplify (acos a) into (acos a) 16.787 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.787 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 16.787 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.787 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.788 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 16.788 * [backup-simplify]: Simplify 0 into 0 16.789 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.790 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 16.790 * [backup-simplify]: Simplify 0 into 0 16.790 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 16.791 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.794 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 16.794 * [backup-simplify]: Simplify 0 into 0 16.794 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.797 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 16.799 * [backup-simplify]: Simplify 0 into 0 16.799 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 16.799 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 a))) (/ 1 (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 16.799 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 16.799 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.799 * [taylor]: Taking taylor expansion of -1 in a 16.800 * [backup-simplify]: Simplify -1 into -1 16.800 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.800 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.800 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.800 * [taylor]: Taking taylor expansion of a in a 16.800 * [backup-simplify]: Simplify 0 into 0 16.800 * [backup-simplify]: Simplify 1 into 1 16.800 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.800 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.800 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.800 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.800 * [taylor]: Taking taylor expansion of -1 in a 16.800 * [backup-simplify]: Simplify -1 into -1 16.800 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.801 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.801 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.801 * [taylor]: Taking taylor expansion of a in a 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 1 into 1 16.801 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.801 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.801 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.802 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.802 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 16.803 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.803 * [backup-simplify]: Simplify 0 into 0 16.803 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.804 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.804 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.805 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.805 * [backup-simplify]: Simplify 0 into 0 16.806 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.807 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.807 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.809 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.809 * [backup-simplify]: Simplify 0 into 0 16.810 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 16.811 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.811 * [backup-simplify]: Simplify 0 into 0 16.811 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 16.811 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 (- a)))) (/ 1 (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 16.811 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 16.811 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.811 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.811 * [taylor]: Taking taylor expansion of a in a 16.811 * [backup-simplify]: Simplify 0 into 0 16.811 * [backup-simplify]: Simplify 1 into 1 16.812 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.812 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.812 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.812 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.812 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.812 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.812 * [taylor]: Taking taylor expansion of a in a 16.812 * [backup-simplify]: Simplify 0 into 0 16.812 * [backup-simplify]: Simplify 1 into 1 16.812 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.813 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.813 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.813 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.813 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.813 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 16.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.814 * [backup-simplify]: Simplify 0 into 0 16.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 16.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.816 * [backup-simplify]: Simplify 0 into 0 16.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 16.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.818 * [backup-simplify]: Simplify 0 into 0 16.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 16.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.821 * [backup-simplify]: Simplify 0 into 0 16.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 16.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.824 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 16.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.827 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 16.828 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 16.828 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.828 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 16.828 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.828 * [taylor]: Taking taylor expansion of (acos a) in a 16.828 * [backup-simplify]: Simplify (acos a) into (acos a) 16.828 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.828 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.828 * [taylor]: Taking taylor expansion of (acos a) in a 16.828 * [backup-simplify]: Simplify (acos a) into (acos a) 16.828 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.828 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.829 * [backup-simplify]: Simplify 0 into 0 16.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.829 * [backup-simplify]: Simplify 0 into 0 16.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.829 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.830 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.830 * [backup-simplify]: Simplify 0 into 0 16.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.831 * [backup-simplify]: Simplify 0 into 0 16.831 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.831 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.831 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 16.831 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.831 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.831 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.831 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.831 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.831 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.831 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.831 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.831 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.832 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.832 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.832 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.833 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.833 * [backup-simplify]: Simplify 0 into 0 16.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.834 * [backup-simplify]: Simplify 0 into 0 16.834 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (/ 1 a)))) into (/ 1 (acos a)) 16.834 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (- a)))) into (/ 1 (acos (/ -1 a))) 16.834 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 16.834 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.834 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.834 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.835 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.835 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.835 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.835 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.835 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.835 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.835 * [backup-simplify]: Simplify 0 into 0 16.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.836 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.838 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 (/ 1 (- a))))) into (/ 1 (acos a)) 16.838 * * * [progress]: simplifying candidates 16.853 * [simplify]: Simplifying: (- (- (log (acos a))) (- (log (- a)))) (- (- (log (acos a))) (- 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cost 0 16.909 * * [simplify]: Extracting # 4 : cost 0 16.912 * * [simplify]: Extracting # 5 : cost 0 16.915 * * [simplify]: Extracting # 6 : cost 0 16.920 * * [simplify]: iteration 0 : 805 enodes (cost 12210 ) 17.773 * * [simplify]: Extracting # 0 : cost 0 17.776 * * [simplify]: Extracting # 1 : cost 0 17.777 * * [simplify]: Extracting # 2 : cost 0 17.778 * * [simplify]: Extracting # 3 : cost 0 17.779 * * [simplify]: iteration 1 : 2273 enodes (cost 8248 ) 18.159 * * [simplify]: Extracting # 0 : cost 0 18.161 * * [simplify]: Extracting # 1 : cost 0 18.163 * * [simplify]: Extracting # 2 : cost 0 18.165 * * [simplify]: Extracting # 3 : cost 0 18.167 * * [simplify]: iteration 2 : 3256 enodes (cost 7104 ) 19.105 * * [simplify]: Extracting # 0 : cost 0 19.109 * * [simplify]: Extracting # 1 : cost 0 19.112 * * [simplify]: Extracting # 2 : cost 0 19.115 * * [simplify]: Extracting # 3 : cost 0 19.117 * * [simplify]: Extracting # 4 : cost 0 19.124 * * [simplify]: Extracting # 5 : cost 0 19.127 * 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a)) (acos a)) (/ -1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ (* (cbrt (- a)) (cbrt (- a))) (acos a)) (/ (sqrt (- a)) (acos a)) (/ 1 (acos a)) (/ -1 (acos a)) (/ (- (* (cbrt a) (cbrt a))) (acos a)) (/ (- (sqrt a)) (acos a)) (/ -1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ (/ 1 (- a)) (cbrt (/ 1 (acos a)))) (/ (/ 1 (- a)) (sqrt (/ 1 (acos a)))) (/ (cbrt (acos a)) (- a)) (/ (sqrt (acos a)) (- a)) (/ (acos a) (- a)) (/ (cbrt (acos a)) (- a)) (/ (sqrt (acos a)) (- a)) (/ (acos a) (- a)) (/ (cbrt (acos a)) (- a)) (/ (sqrt (acos a)) (- a)) (/ (acos a) (- a)) (/ (acos a) (- a)) (/ (acos a) (- a)) (/ 1 (acos a)) (/ (acos a) (- a)) -1 (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (exp (/ 1 (acos a))) (pow (/ 1 (acos a)) 3) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (pow (/ 1 (acos a)) 3) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (- (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (acos a)) (acos a) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 19.136 * * * [progress]: adding candidates to table 19.465 * [progress]: [Phase 3 of 3] Extracting. 19.465 * * [regime]: Finding splitpoints for: (# # # # # #) 19.466 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 19.466 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 19.490 * * * * [regimes]: Trying to branch on a from (# # # # # #) 19.520 * * * [regime]: Found split indices: #